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GCF of 7286/532, 7523/689

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 7286/532, 7523/689 i.e 1/366548 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7286/532, 7523/689.

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 7286/532,7523/689?

Given fractions are 7286/532,7523/689

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 7286/532,7523/689, numerators are 7286,7523

Denominators are 532,689

The GCF of 7286,7523 is 1 .

LCM of 532,689 is 366548.

The greatest common factor of 7286/532,7523/689 = [GCF of 7286,7523]/[LCM of 532,689]= 1/366548

Therefore, the GCF of 7286/532,7523/689 is 1/366548.

Greatest Common Factor of 7286,7523

To find the highest common factor of 7286,7523, we have to find the factors of both numbers and list the highest common factor.

The factors of 7286 are 1, 2, 3643, 7286

The factors of 7523 are 1, 7523

The HCF of 7286,7523 is 1.

Lets's calculate GCF of 7286,7523

Greatest Common Factor (GCF) of 7286,7523 By Common Division

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

Greatest Common Factor of 7286,7523 By Matching Biggest Common Factor Method

Greatest Common Factor of 7286,7523 By Matching Biggest Common Factor Method

Now, list down the factors of 7286

:

1,2,3643,7286

Now, list down the factors of 7523

:

1,7523

Greatest Common Factor

We found the factors 7286,7523 . The biggest common factor number is the GCF number.
So the greatest common factor 7286,7523 is 1.

Lets's calculate LCM of 532,689

Lowest Common Multiple of 532,689 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 366548

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/366548

Therefore, the GCF of Fractions 7286/532,7523/689 is 1/366548

Least Common Multiple of 532,689 with GCF Formula

Least Common Multiple of 532,689 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 532,689 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(532,689) = 1

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

GCF(532,689) x common factors =1 x 1 = 1

LCM(532,689) = ( 532 × 689 ) / 1

LCM(532,689) = 366548 / 1

LCM(532,689) = 366548


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FAQs on GCF of Fractions of 7286/532, 7523/689

1. What is the HCF of 7286,7523?

The HCF of 7286,7523 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 7286/532, 7523/689?

Answer: GCF of Numerators as per given numbers 7286/532, 7523/689 is

GCF of Numerators i.e. for 7286,7523 is 1

LCM of denominators i.e. for 532,689 is 366548.

Thus, GCF of Fractions is 1/366548.Finally, GCF of Fractions for 7286/532, 7523/689 is 1/366548.