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GCF of 7109/370, 7724/1459

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 7109/370, 7724/1459 i.e 1/539830 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7109/370, 7724/1459.

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 7109/370,7724/1459?

Given fractions are 7109/370,7724/1459

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 7109/370,7724/1459, numerators are 7109,7724

Denominators are 370,1459

The GCF of 7109,7724 is 1 .

LCM of 370,1459 is 539830.

The greatest common factor of 7109/370,7724/1459 = [GCF of 7109,7724]/[LCM of 370,1459]= 1/539830

Therefore, the GCF of 7109/370,7724/1459 is 1/539830.

Greatest Common Factor of 7109,7724

To find the highest common factor of 7109,7724, we have to find the factors of both numbers and list the highest common factor.

The factors of 7109 are 1, 7109

The factors of 7724 are 1, 2, 4, 1931, 3862, 7724

The HCF of 7109,7724 is 1.

Lets's calculate GCF of 7109,7724

Greatest Common Factor (GCF) of 7109,7724 By Common Division

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

Greatest Common Factor of 7109,7724 By Matching Biggest Common Factor Method

Greatest Common Factor of 7109,7724 By Matching Biggest Common Factor Method

Now, list down the factors of 7109

:

1,7109

Now, list down the factors of 7724

:

1,2,4,1931,3862,7724

Greatest Common Factor

We found the factors 7109,7724 . The biggest common factor number is the GCF number.
So the greatest common factor 7109,7724 is 1.

Lets's calculate LCM of 370,1459

Lowest Common Multiple of 370,1459 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 539830

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/539830

Therefore, the GCF of Fractions 7109/370,7724/1459 is 1/539830

Least Common Multiple of 370,1459 with GCF Formula

Least Common Multiple of 370,1459 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 370,1459 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(370,1459) = 1

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

GCF(370,1459) x common factors =1 x 1 = 1

LCM(370,1459) = ( 370 × 1459 ) / 1

LCM(370,1459) = 539830 / 1

LCM(370,1459) = 539830


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 7109/370, 7724/1459

1. What is the HCF of 7109,7724?

The HCF of 7109,7724 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 7109/370, 7724/1459?

Answer: GCF of Numerators as per given numbers 7109/370, 7724/1459 is

GCF of Numerators i.e. for 7109,7724 is 1

LCM of denominators i.e. for 370,1459 is 539830.

Thus, GCF of Fractions is 1/539830.Finally, GCF of Fractions for 7109/370, 7724/1459 is 1/539830.