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GCF of 137/942, 9186/430

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 137/942, 9186/430 i.e 1/202530 easily. The following is the detailed procedure to determine the greatest common factor of fractions 137/942, 9186/430.

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 137/942,9186/430?

Given fractions are 137/942,9186/430

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 137/942,9186/430, numerators are 137,9186

Denominators are 942,430

The GCF of 137,9186 is 1 .

LCM of 942,430 is 202530.

The greatest common factor of 137/942,9186/430 = [GCF of 137,9186]/[LCM of 942,430]= 1/202530

Therefore, the GCF of 137/942,9186/430 is 1/202530.

Greatest Common Factor of 137,9186

To find the highest common factor of 137,9186, we have to find the factors of both numbers and list the highest common factor.

The factors of 137 are 1, 137

The factors of 9186 are 1, 2, 3, 6, 1531, 3062, 4593, 9186

The HCF of 137,9186 is 1.

Lets's calculate GCF of 137,9186

Greatest Common Factor (GCF) of 137,9186 By Common Division

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

Greatest Common Factor of 137,9186 By Matching Biggest Common Factor Method

Greatest Common Factor of 137,9186 By Matching Biggest Common Factor Method

Now, list down the factors of 137

:

1,137

Now, list down the factors of 9186

:

1,2,3,6,1531,3062,4593,9186

Greatest Common Factor

We found the factors 137,9186 . The biggest common factor number is the GCF number.
So the greatest common factor 137,9186 is 1.

Lets's calculate LCM of 942,430

Lowest Common Multiple of 942,430 using Common Division

2 942, 430
471, 215

∴ So the LCM of the given numbers is 2 x 471 x 215 = 202530

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/202530

Therefore, the GCF of Fractions 137/942,9186/430 is 1/202530

Least Common Multiple of 942,430 with GCF Formula

Least Common Multiple of 942,430 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 942,430 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(942,430) = 2

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

GCF(942,430) x common factors =2 x 1 = 2

LCM(942,430) = ( 942 × 430 ) / 2

LCM(942,430) = 405060 / 2

LCM(942,430) = 202530


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FAQs on GCF of Fractions of 137/942, 9186/430

1. What is the HCF of 137,9186?

The HCF of 137,9186 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 137/942, 9186/430?

Answer: GCF of Numerators as per given numbers 137/942, 9186/430 is

GCF of Numerators i.e. for 137,9186 is 1

LCM of denominators i.e. for 942,430 is 202530.

Thus, GCF of Fractions is 1/202530.Finally, GCF of Fractions for 137/942, 9186/430 is 1/202530.