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 352/148, 137/662

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 352/148, 137/662 i.e 1/48988 easily. The following is the detailed procedure to determine the greatest common factor of fractions 352/148, 137/662.

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 352/148,137/662?

Given fractions are 352/148,137/662

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 352/148,137/662, numerators are 352,137

Denominators are 148,662

The GCF of 352,137 is 1 .

LCM of 148,662 is 48988.

The greatest common factor of 352/148,137/662 = [GCF of 352,137]/[LCM of 148,662]= 1/48988

Therefore, the GCF of 352/148,137/662 is 1/48988.

Greatest Common Factor of 352,137

To find the highest common factor of 352,137, we have to find the factors of both numbers and list the highest common factor.

The factors of 352 are 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

The factors of 137 are 1, 137

The HCF of 352,137 is 1.

Lets's calculate GCF of 352,137

Greatest Common Factor (GCF) of 352,137 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 352,137 By Matching Biggest Common Factor Method

Greatest Common Factor of 352,137 By Matching Biggest Common Factor Method

Now, list down the factors of 352

:

1,2,4,8,11,16,22,32,44,88,176,352

Now, list down the factors of 137

:

1,137

Greatest Common Factor

We found the factors 352,137 . The biggest common factor number is the GCF number.
So the greatest common factor 352,137 is 1.

Lets's calculate LCM of 148,662

Lowest Common Multiple of 148,662 using Common Division

2 148, 662
74, 331

∴ So the LCM of the given numbers is 2 x 74 x 331 = 48988

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/48988

Therefore, the GCF of Fractions 352/148,137/662 is 1/48988

Least Common Multiple of 148,662 with GCF Formula

Least Common Multiple of 148,662 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 148,662 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(148,662) = 2

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

GCF(148,662) x common factors =2 x 1 = 2

LCM(148,662) = ( 148 × 662 ) / 2

LCM(148,662) = 97976 / 2

LCM(148,662) = 48988


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 352/148, 137/662

1. What is the HCF of 352,137?

The HCF of 352,137 is 1

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 352/148, 137/662?

Answer: GCF of Numerators as per given numbers 352/148, 137/662 is

GCF of Numerators i.e. for 352,137 is 1

LCM of denominators i.e. for 148,662 is 48988.

Thus, GCF of Fractions is 1/48988.Finally, GCF of Fractions for 352/148, 137/662 is 1/48988.