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GCF of 7691/603, 2605/1115

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 7691/603, 2605/1115 i.e 1/672345 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7691/603, 2605/1115.

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 7691/603,2605/1115?

Given fractions are 7691/603,2605/1115

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 7691/603,2605/1115, numerators are 7691,2605

Denominators are 603,1115

The GCF of 7691,2605 is 1 .

LCM of 603,1115 is 672345.

The greatest common factor of 7691/603,2605/1115 = [GCF of 7691,2605]/[LCM of 603,1115]= 1/672345

Therefore, the GCF of 7691/603,2605/1115 is 1/672345.

Greatest Common Factor of 7691,2605

To find the highest common factor of 7691,2605, we have to find the factors of both numbers and list the highest common factor.

The factors of 7691 are 1, 7691

The factors of 2605 are 1, 5, 521, 2605

The HCF of 7691,2605 is 1.

Lets's calculate GCF of 7691,2605

Greatest Common Factor (GCF) of 7691,2605 By Common Division

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

Greatest Common Factor of 7691,2605 By Matching Biggest Common Factor Method

Greatest Common Factor of 7691,2605 By Matching Biggest Common Factor Method

Now, list down the factors of 7691

:

1,7691

Now, list down the factors of 2605

:

1,5,521,2605

Greatest Common Factor

We found the factors 7691,2605 . The biggest common factor number is the GCF number.
So the greatest common factor 7691,2605 is 1.

Lets's calculate LCM of 603,1115

Lowest Common Multiple of 603,1115 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 672345

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/672345

Therefore, the GCF of Fractions 7691/603,2605/1115 is 1/672345

Least Common Multiple of 603,1115 with GCF Formula

Least Common Multiple of 603,1115 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 603,1115 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(603,1115) = 1

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

GCF(603,1115) x common factors =1 x 1 = 1

LCM(603,1115) = ( 603 × 1115 ) / 1

LCM(603,1115) = 672345 / 1

LCM(603,1115) = 672345


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FAQs on GCF of Fractions of 7691/603, 2605/1115

1. What is the HCF of 7691,2605?

The HCF of 7691,2605 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 7691/603, 2605/1115?

Answer: GCF of Numerators as per given numbers 7691/603, 2605/1115 is

GCF of Numerators i.e. for 7691,2605 is 1

LCM of denominators i.e. for 603,1115 is 672345.

Thus, GCF of Fractions is 1/672345.Finally, GCF of Fractions for 7691/603, 2605/1115 is 1/672345.