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GCF of 6949/485, 7645/420

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 6949/485, 7645/420 i.e 1/40740 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6949/485, 7645/420.

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 6949/485,7645/420?

Given fractions are 6949/485,7645/420

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 6949/485,7645/420, numerators are 6949,7645

Denominators are 485,420

The GCF of 6949,7645 is 1 .

LCM of 485,420 is 40740.

The greatest common factor of 6949/485,7645/420 = [GCF of 6949,7645]/[LCM of 485,420]= 1/40740

Therefore, the GCF of 6949/485,7645/420 is 1/40740.

Greatest Common Factor of 6949,7645

To find the highest common factor of 6949,7645, we have to find the factors of both numbers and list the highest common factor.

The factors of 6949 are 1, 6949

The factors of 7645 are 1, 5, 11, 55, 139, 695, 1529, 7645

The HCF of 6949,7645 is 1.

Lets's calculate GCF of 6949,7645

Greatest Common Factor (GCF) of 6949,7645 By Common Division

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

Greatest Common Factor of 6949,7645 By Matching Biggest Common Factor Method

Greatest Common Factor of 6949,7645 By Matching Biggest Common Factor Method

Now, list down the factors of 6949

:

1,6949

Now, list down the factors of 7645

:

1,5,11,55,139,695,1529,7645

Greatest Common Factor

We found the factors 6949,7645 . The biggest common factor number is the GCF number.
So the greatest common factor 6949,7645 is 1.

Lets's calculate LCM of 485,420

Lowest Common Multiple of 485,420 using Common Division

5 485, 420
97, 84

∴ So the LCM of the given numbers is 5 x 97 x 84 = 40740

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/40740

Therefore, the GCF of Fractions 6949/485,7645/420 is 1/40740

Least Common Multiple of 485,420 with GCF Formula

Least Common Multiple of 485,420 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 485,420 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(485,420) = 5

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

GCF(485,420) x common factors =5 x 1 = 5

LCM(485,420) = ( 485 × 420 ) / 5

LCM(485,420) = 203700 / 5

LCM(485,420) = 40740


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FAQs on GCF of Fractions of 6949/485, 7645/420

1. What is the HCF of 6949,7645?

The HCF of 6949,7645 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 6949/485, 7645/420?

Answer: GCF of Numerators as per given numbers 6949/485, 7645/420 is

GCF of Numerators i.e. for 6949,7645 is 1

LCM of denominators i.e. for 485,420 is 40740.

Thus, GCF of Fractions is 1/40740.Finally, GCF of Fractions for 6949/485, 7645/420 is 1/40740.