LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 176/64, 608/954

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 176/64, 608/954 i.e 16/30528 easily. The following is the detailed procedure to determine the greatest common factor of fractions 176/64, 608/954.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 176/64,608/954?

Given fractions are 176/64,608/954

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 176/64,608/954, numerators are 176,608

Denominators are 64,954

The GCF of 176,608 is 16 .

LCM of 64,954 is 30528.

The greatest common factor of 176/64,608/954 = [GCF of 176,608]/[LCM of 64,954]= 16/30528

Therefore, the GCF of 176/64,608/954 is 16/30528.

Greatest Common Factor of 176,608

To find the highest common factor of 176,608, we have to find the factors of both numbers and list the highest common factor.

The factors of 176 are 1, 2, 4, 8, 11, 16, 22, 44, 88, 176

The factors of 608 are 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

The HCF of 176,608 is 16.

Lets's calculate GCF of 176,608

Greatest Common Factor (GCF) of 176,608 By Common Division

2 176, 608
2 88, 304
2 44, 152
2 22, 76
11, 38

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Greatest Common Factor of 176,608 By Matching Biggest Common Factor Method

Greatest Common Factor of 176,608 By Matching Biggest Common Factor Method

Now, list down the factors of 176

:

1,2,4,8,11,16,22,44,88,176

Now, list down the factors of 608

:

1,2,4,8,16,19,32,38,76,152,304,608

Greatest Common Factor

We found the factors 176,608 . The biggest common factor number is the GCF number.
So the greatest common factor 176,608 is 16.

Lets's calculate LCM of 64,954

Lowest Common Multiple of 64,954 using Common Division

2 64, 954
32, 477

∴ So the LCM of the given numbers is 2 x 32 x 477 = 30528

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/30528

Therefore, the GCF of Fractions 176/64,608/954 is 16/30528

Least Common Multiple of 64,954 with GCF Formula

Least Common Multiple of 64,954 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 64,954 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,954) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(64,954) x common factors =2 x 1 = 2

LCM(64,954) = ( 64 × 954 ) / 2

LCM(64,954) = 61056 / 2

LCM(64,954) = 30528


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 176/64, 608/954

1. What is the HCF of 176,608?

The HCF of 176,608 is 16

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 176/64, 608/954?

Answer: GCF of Numerators as per given numbers 176/64, 608/954 is

GCF of Numerators i.e. for 176,608 is 16

LCM of denominators i.e. for 64,954 is 30528.

Thus, GCF of Fractions is 16/30528.Finally, GCF of Fractions for 176/64, 608/954 is 16/30528.