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GCF of 101/51, 977/598

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 101/51, 977/598 i.e 1/30498 easily. The following is the detailed procedure to determine the greatest common factor of fractions 101/51, 977/598.

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 101/51,977/598?

Given fractions are 101/51,977/598

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 101/51,977/598, numerators are 101,977

Denominators are 51,598

The GCF of 101,977 is 1 .

LCM of 51,598 is 30498.

The greatest common factor of 101/51,977/598 = [GCF of 101,977]/[LCM of 51,598]= 1/30498

Therefore, the GCF of 101/51,977/598 is 1/30498.

Greatest Common Factor of 101,977

To find the highest common factor of 101,977, we have to find the factors of both numbers and list the highest common factor.

The factors of 101 are 1, 101

The factors of 977 are 1, 977

The HCF of 101,977 is 1.

Lets's calculate GCF of 101,977

Greatest Common Factor (GCF) of 101,977 By Common Division

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

Greatest Common Factor of 101,977 By Matching Biggest Common Factor Method

Greatest Common Factor of 101,977 By Matching Biggest Common Factor Method

Now, list down the factors of 101

:

1,101

Now, list down the factors of 977

:

1,977

Greatest Common Factor

We found the factors 101,977 . The biggest common factor number is the GCF number.
So the greatest common factor 101,977 is 1.

Lets's calculate LCM of 51,598

Lowest Common Multiple of 51,598 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 30498

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30498

Therefore, the GCF of Fractions 101/51,977/598 is 1/30498

Least Common Multiple of 51,598 with GCF Formula

Least Common Multiple of 51,598 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 51,598 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,598) = 1

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

GCF(51,598) x common factors =1 x 1 = 1

LCM(51,598) = ( 51 × 598 ) / 1

LCM(51,598) = 30498 / 1

LCM(51,598) = 30498


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FAQs on GCF of Fractions of 101/51, 977/598

1. What is the HCF of 101,977?

The HCF of 101,977 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 101/51, 977/598?

Answer: GCF of Numerators as per given numbers 101/51, 977/598 is

GCF of Numerators i.e. for 101,977 is 1

LCM of denominators i.e. for 51,598 is 30498.

Thus, GCF of Fractions is 1/30498.Finally, GCF of Fractions for 101/51, 977/598 is 1/30498.