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GCF of 557/286, 1070/170

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 557/286, 1070/170 i.e 1/24310 easily. The following is the detailed procedure to determine the greatest common factor of fractions 557/286, 1070/170.

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 557/286,1070/170?

Given fractions are 557/286,1070/170

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 557/286,1070/170, numerators are 557,1070

Denominators are 286,170

The GCF of 557,1070 is 1 .

LCM of 286,170 is 24310.

The greatest common factor of 557/286,1070/170 = [GCF of 557,1070]/[LCM of 286,170]= 1/24310

Therefore, the GCF of 557/286,1070/170 is 1/24310.

Greatest Common Factor of 557,1070

To find the highest common factor of 557,1070, we have to find the factors of both numbers and list the highest common factor.

The factors of 557 are 1, 557

The factors of 1070 are 1, 2, 5, 10, 107, 214, 535, 1070

The HCF of 557,1070 is 1.

Lets's calculate GCF of 557,1070

Greatest Common Factor (GCF) of 557,1070 By Common Division

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

Greatest Common Factor of 557,1070 By Matching Biggest Common Factor Method

Greatest Common Factor of 557,1070 By Matching Biggest Common Factor Method

Now, list down the factors of 557

:

1,557

Now, list down the factors of 1070

:

1,2,5,10,107,214,535,1070

Greatest Common Factor

We found the factors 557,1070 . The biggest common factor number is the GCF number.
So the greatest common factor 557,1070 is 1.

Lets's calculate LCM of 286,170

Lowest Common Multiple of 286,170 using Common Division

2 286, 170
143, 85

∴ So the LCM of the given numbers is 2 x 143 x 85 = 24310

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24310

Therefore, the GCF of Fractions 557/286,1070/170 is 1/24310

Least Common Multiple of 286,170 with GCF Formula

Least Common Multiple of 286,170 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 286,170 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(286,170) = 2

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

GCF(286,170) x common factors =2 x 1 = 2

LCM(286,170) = ( 286 × 170 ) / 2

LCM(286,170) = 48620 / 2

LCM(286,170) = 24310


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FAQs on GCF of Fractions of 557/286, 1070/170

1. What is the HCF of 557,1070?

The HCF of 557,1070 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 557/286, 1070/170?

Answer: GCF of Numerators as per given numbers 557/286, 1070/170 is

GCF of Numerators i.e. for 557,1070 is 1

LCM of denominators i.e. for 286,170 is 24310.

Thus, GCF of Fractions is 1/24310.Finally, GCF of Fractions for 557/286, 1070/170 is 1/24310.