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GCF of 707/288, 7159/7130

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 707/288, 7159/7130 i.e 1/1026720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 707/288, 7159/7130.

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 707/288,7159/7130?

Given fractions are 707/288,7159/7130

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 707/288,7159/7130, numerators are 707,7159

Denominators are 288,7130

The GCF of 707,7159 is 1 .

LCM of 288,7130 is 1026720.

The greatest common factor of 707/288,7159/7130 = [GCF of 707,7159]/[LCM of 288,7130]= 1/1026720

Therefore, the GCF of 707/288,7159/7130 is 1/1026720.

Greatest Common Factor of 707,7159

To find the highest common factor of 707,7159, we have to find the factors of both numbers and list the highest common factor.

The factors of 707 are 1, 7, 101, 707

The factors of 7159 are 1, 7159

The HCF of 707,7159 is 1.

Lets's calculate GCF of 707,7159

Greatest Common Factor (GCF) of 707,7159 By Common Division

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

Greatest Common Factor of 707,7159 By Matching Biggest Common Factor Method

Greatest Common Factor of 707,7159 By Matching Biggest Common Factor Method

Now, list down the factors of 707

:

1,7,101,707

Now, list down the factors of 7159

:

1,7159

Greatest Common Factor

We found the factors 707,7159 . The biggest common factor number is the GCF number.
So the greatest common factor 707,7159 is 1.

Lets's calculate LCM of 288,7130

Lowest Common Multiple of 288,7130 using Common Division

2 288, 7130
144, 3565

∴ So the LCM of the given numbers is 2 x 144 x 3565 = 1026720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1026720

Therefore, the GCF of Fractions 707/288,7159/7130 is 1/1026720

Least Common Multiple of 288,7130 with GCF Formula

Least Common Multiple of 288,7130 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 288,7130 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(288,7130) = 2

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

GCF(288,7130) x common factors =2 x 1 = 2

LCM(288,7130) = ( 288 × 7130 ) / 2

LCM(288,7130) = 2053440 / 2

LCM(288,7130) = 1026720


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FAQs on GCF of Fractions of 707/288, 7159/7130

1. What is the HCF of 707,7159?

The HCF of 707,7159 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 707/288, 7159/7130?

Answer: GCF of Numerators as per given numbers 707/288, 7159/7130 is

GCF of Numerators i.e. for 707,7159 is 1

LCM of denominators i.e. for 288,7130 is 1026720.

Thus, GCF of Fractions is 1/1026720.Finally, GCF of Fractions for 707/288, 7159/7130 is 1/1026720.