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GCF of 1025/334, 1057/618

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 1025/334, 1057/618 i.e 1/103206 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1025/334, 1057/618.

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 1025/334,1057/618?

Given fractions are 1025/334,1057/618

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 1025/334,1057/618, numerators are 1025,1057

Denominators are 334,618

The GCF of 1025,1057 is 1 .

LCM of 334,618 is 103206.

The greatest common factor of 1025/334,1057/618 = [GCF of 1025,1057]/[LCM of 334,618]= 1/103206

Therefore, the GCF of 1025/334,1057/618 is 1/103206.

Greatest Common Factor of 1025,1057

To find the highest common factor of 1025,1057, we have to find the factors of both numbers and list the highest common factor.

The factors of 1025 are 1, 5, 25, 41, 205, 1025

The factors of 1057 are 1, 7, 151, 1057

The HCF of 1025,1057 is 1.

Lets's calculate GCF of 1025,1057

Greatest Common Factor (GCF) of 1025,1057 By Common Division

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

Greatest Common Factor of 1025,1057 By Matching Biggest Common Factor Method

Greatest Common Factor of 1025,1057 By Matching Biggest Common Factor Method

Now, list down the factors of 1025

:

1,5,25,41,205,1025

Now, list down the factors of 1057

:

1,7,151,1057

Greatest Common Factor

We found the factors 1025,1057 . The biggest common factor number is the GCF number.
So the greatest common factor 1025,1057 is 1.

Lets's calculate LCM of 334,618

Lowest Common Multiple of 334,618 using Common Division

2 334, 618
167, 309

∴ So the LCM of the given numbers is 2 x 167 x 309 = 103206

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/103206

Therefore, the GCF of Fractions 1025/334,1057/618 is 1/103206

Least Common Multiple of 334,618 with GCF Formula

Least Common Multiple of 334,618 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 334,618 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(334,618) = 2

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

GCF(334,618) x common factors =2 x 1 = 2

LCM(334,618) = ( 334 × 618 ) / 2

LCM(334,618) = 206412 / 2

LCM(334,618) = 103206


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FAQs on GCF of Fractions of 1025/334, 1057/618

1. What is the HCF of 1025,1057?

The HCF of 1025,1057 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 1025/334, 1057/618?

Answer: GCF of Numerators as per given numbers 1025/334, 1057/618 is

GCF of Numerators i.e. for 1025,1057 is 1

LCM of denominators i.e. for 334,618 is 103206.

Thus, GCF of Fractions is 1/103206.Finally, GCF of Fractions for 1025/334, 1057/618 is 1/103206.