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GCF of 157/48, 517/170

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 157/48, 517/170 i.e 1/4080 easily. The following is the detailed procedure to determine the greatest common factor of fractions 157/48, 517/170.

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 157/48,517/170?

Given fractions are 157/48,517/170

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 157/48,517/170, numerators are 157,517

Denominators are 48,170

The GCF of 157,517 is 1 .

LCM of 48,170 is 4080.

The greatest common factor of 157/48,517/170 = [GCF of 157,517]/[LCM of 48,170]= 1/4080

Therefore, the GCF of 157/48,517/170 is 1/4080.

Greatest Common Factor of 157,517

To find the highest common factor of 157,517, 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 517 are 1, 11, 47, 517

The HCF of 157,517 is 1.

Lets's calculate GCF of 157,517

Greatest Common Factor (GCF) of 157,517 By Common Division

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

Greatest Common Factor of 157,517 By Matching Biggest Common Factor Method

Greatest Common Factor of 157,517 By Matching Biggest Common Factor Method

Now, list down the factors of 157

:

1,157

Now, list down the factors of 517

:

1,11,47,517

Greatest Common Factor

We found the factors 157,517 . The biggest common factor number is the GCF number.
So the greatest common factor 157,517 is 1.

Lets's calculate LCM of 48,170

Lowest Common Multiple of 48,170 using Common Division

2 48, 170
24, 85

∴ So the LCM of the given numbers is 2 x 24 x 85 = 4080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4080

Therefore, the GCF of Fractions 157/48,517/170 is 1/4080

Least Common Multiple of 48,170 with GCF Formula

Least Common Multiple of 48,170 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 48,170 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,170) = 2

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

GCF(48,170) x common factors =2 x 1 = 2

LCM(48,170) = ( 48 × 170 ) / 2

LCM(48,170) = 8160 / 2

LCM(48,170) = 4080


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FAQs on GCF of Fractions of 157/48, 517/170

1. What is the HCF of 157,517?

The HCF of 157,517 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 157/48, 517/170?

Answer: GCF of Numerators as per given numbers 157/48, 517/170 is

GCF of Numerators i.e. for 157,517 is 1

LCM of denominators i.e. for 48,170 is 4080.

Thus, GCF of Fractions is 1/4080.Finally, GCF of Fractions for 157/48, 517/170 is 1/4080.