How to Find GCF of 157/956, 7345/796?

GCF of 157/956, 7345/796

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 157/956, 7345/796 i.e 1/190244 easily. The following is the detailed procedure to determine the greatest common factor of fractions 157/956, 7345/796.

Enter two or more fractions separated by "commas"

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

What is the GCF of 157/956,7345/796?

Given fractions are 157/956,7345/796

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 157/956,7345/796, numerators are 157,7345

Denominators are 956,796

The GCF of 157,7345 is 1 .

LCM of 956,796 is 190244.

The greatest common factor of 157/956,7345/796 = [GCF of 157,7345]/[LCM of 956,796]= 1/190244

Therefore, the GCF of 157/956,7345/796 is 1/190244.

Greatest Common Factor of 157,7345

To find the highest common factor of 157,7345, we have to find the factors of both numbers and list the highest common factor.

The factors of 157 are 1, 157

The factors of 7345 are 1, 5, 13, 65, 113, 565, 1469, 7345

The HCF of 157,7345 is 1.

Lets's calculate GCF of 157,7345

Greatest Common Factor (GCF) of 157,7345 By Common Division

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

Greatest Common Factor of 157,7345 By Matching Biggest Common Factor Method

Now, list down the factors of 157

1,157

Now, list down the factors of 7345

1,5,13,65,113,565,1469,7345

Greatest Common Factor

We found the factors 157,7345 . The biggest common factor number is the GCF number.
So the greatest common factor 157,7345 is 1.

Lets's calculate LCM of 956,796

Lowest Common Multiple of 956,796 using Common Division

2	956, 796
2	478, 398
	239, 199

∴ So the LCM of the given numbers is 2 x 2 x 239 x 199 = 190244

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/190244

Therefore, the GCF of Fractions 157/956,7345/796 is 1/190244

Least Common Multiple of 956,796 with GCF Formula

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

We need to calculate greatest common factor of 956,796 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(956,796) = 4

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

GCF(956,796) x common factors =4 x 1 = 4

LCM(956,796) = ( 956 × 796 ) / 4

LCM(956,796) = 760976 / 4

LCM(956,796) = 190244

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FAQs on GCF of Fractions of 157/956, 7345/796

1. What is the HCF of 157,7345?

The HCF of 157,7345 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 157/956, 7345/796?

Answer: GCF of Numerators as per given numbers 157/956, 7345/796 is

GCF of Numerators i.e. for 157,7345 is 1

LCM of denominators i.e. for 956,796 is 190244.

Thus, GCF of Fractions is 1/190244.Finally, GCF of Fractions for 157/956, 7345/796 is 1/190244.