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GCF of 6103/965, 6481/642

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 6103/965, 6481/642 i.e 1/619530 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6103/965, 6481/642.

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 6103/965,6481/642?

Given fractions are 6103/965,6481/642

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 6103/965,6481/642, numerators are 6103,6481

Denominators are 965,642

The GCF of 6103,6481 is 1 .

LCM of 965,642 is 619530.

The greatest common factor of 6103/965,6481/642 = [GCF of 6103,6481]/[LCM of 965,642]= 1/619530

Therefore, the GCF of 6103/965,6481/642 is 1/619530.

Greatest Common Factor of 6103,6481

To find the highest common factor of 6103,6481, we have to find the factors of both numbers and list the highest common factor.

The factors of 6103 are 1, 17, 359, 6103

The factors of 6481 are 1, 6481

The HCF of 6103,6481 is 1.

Lets's calculate GCF of 6103,6481

Greatest Common Factor (GCF) of 6103,6481 By Common Division

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

Greatest Common Factor of 6103,6481 By Matching Biggest Common Factor Method

Greatest Common Factor of 6103,6481 By Matching Biggest Common Factor Method

Now, list down the factors of 6103

:

1,17,359,6103

Now, list down the factors of 6481

:

1,6481

Greatest Common Factor

We found the factors 6103,6481 . The biggest common factor number is the GCF number.
So the greatest common factor 6103,6481 is 1.

Lets's calculate LCM of 965,642

Lowest Common Multiple of 965,642 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 619530

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/619530

Therefore, the GCF of Fractions 6103/965,6481/642 is 1/619530

Least Common Multiple of 965,642 with GCF Formula

Least Common Multiple of 965,642 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 965,642 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(965,642) = 1

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

GCF(965,642) x common factors =1 x 1 = 1

LCM(965,642) = ( 965 × 642 ) / 1

LCM(965,642) = 619530 / 1

LCM(965,642) = 619530


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FAQs on GCF of Fractions of 6103/965, 6481/642

1. What is the HCF of 6103,6481?

The HCF of 6103,6481 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 6103/965, 6481/642?

Answer: GCF of Numerators as per given numbers 6103/965, 6481/642 is

GCF of Numerators i.e. for 6103,6481 is 1

LCM of denominators i.e. for 965,642 is 619530.

Thus, GCF of Fractions is 1/619530.Finally, GCF of Fractions for 6103/965, 6481/642 is 1/619530.