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 752/85, 176/517

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 752/85, 176/517 i.e 16/43945 easily. The following is the detailed procedure to determine the greatest common factor of fractions 752/85, 176/517.

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 752/85,176/517?

Given fractions are 752/85,176/517

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 752/85,176/517, numerators are 752,176

Denominators are 85,517

The GCF of 752,176 is 16 .

LCM of 85,517 is 43945.

The greatest common factor of 752/85,176/517 = [GCF of 752,176]/[LCM of 85,517]= 16/43945

Therefore, the GCF of 752/85,176/517 is 16/43945.

Greatest Common Factor of 752,176

To find the highest common factor of 752,176, we have to find the factors of both numbers and list the highest common factor.

The factors of 752 are 1, 2, 4, 8, 16, 47, 94, 188, 376, 752

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

The HCF of 752,176 is 16.

Lets's calculate GCF of 752,176

Greatest Common Factor (GCF) of 752,176 By Common Division

2 752, 176
2 376, 88
2 188, 44
2 94, 22
47, 11

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

Greatest Common Factor of 752,176 By Matching Biggest Common Factor Method

Greatest Common Factor of 752,176 By Matching Biggest Common Factor Method

Now, list down the factors of 752

:

1,2,4,8,16,47,94,188,376,752

Now, list down the factors of 176

:

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

Greatest Common Factor

We found the factors 752,176 . The biggest common factor number is the GCF number.
So the greatest common factor 752,176 is 16.

Lets's calculate LCM of 85,517

Lowest Common Multiple of 85,517 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 43945

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/43945

Therefore, the GCF of Fractions 752/85,176/517 is 16/43945

Least Common Multiple of 85,517 with GCF Formula

Least Common Multiple of 85,517 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 85,517 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,517) = 1

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

GCF(85,517) x common factors =1 x 1 = 1

LCM(85,517) = ( 85 × 517 ) / 1

LCM(85,517) = 43945 / 1

LCM(85,517) = 43945


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 752/85, 176/517

1. What is the HCF of 752,176?

The HCF of 752,176 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 752/85, 176/517?

Answer: GCF of Numerators as per given numbers 752/85, 176/517 is

GCF of Numerators i.e. for 752,176 is 16

LCM of denominators i.e. for 85,517 is 43945.

Thus, GCF of Fractions is 16/43945.Finally, GCF of Fractions for 752/85, 176/517 is 16/43945.