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GCF of 6451/605, 6123/753

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 6451/605, 6123/753 i.e 1/455565 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6451/605, 6123/753.

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 6451/605,6123/753?

Given fractions are 6451/605,6123/753

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 6451/605,6123/753, numerators are 6451,6123

Denominators are 605,753

The GCF of 6451,6123 is 1 .

LCM of 605,753 is 455565.

The greatest common factor of 6451/605,6123/753 = [GCF of 6451,6123]/[LCM of 605,753]= 1/455565

Therefore, the GCF of 6451/605,6123/753 is 1/455565.

Greatest Common Factor of 6451,6123

To find the highest common factor of 6451,6123, we have to find the factors of both numbers and list the highest common factor.

The factors of 6451 are 1, 6451

The factors of 6123 are 1, 3, 13, 39, 157, 471, 2041, 6123

The HCF of 6451,6123 is 1.

Lets's calculate GCF of 6451,6123

Greatest Common Factor (GCF) of 6451,6123 By Common Division

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

Greatest Common Factor of 6451,6123 By Matching Biggest Common Factor Method

Greatest Common Factor of 6451,6123 By Matching Biggest Common Factor Method

Now, list down the factors of 6451

:

1,6451

Now, list down the factors of 6123

:

1,3,13,39,157,471,2041,6123

Greatest Common Factor

We found the factors 6451,6123 . The biggest common factor number is the GCF number.
So the greatest common factor 6451,6123 is 1.

Lets's calculate LCM of 605,753

Lowest Common Multiple of 605,753 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 455565

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/455565

Therefore, the GCF of Fractions 6451/605,6123/753 is 1/455565

Least Common Multiple of 605,753 with GCF Formula

Least Common Multiple of 605,753 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 605,753 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(605,753) = 1

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

GCF(605,753) x common factors =1 x 1 = 1

LCM(605,753) = ( 605 × 753 ) / 1

LCM(605,753) = 455565 / 1

LCM(605,753) = 455565


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FAQs on GCF of Fractions of 6451/605, 6123/753

1. What is the HCF of 6451,6123?

The HCF of 6451,6123 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 6451/605, 6123/753?

Answer: GCF of Numerators as per given numbers 6451/605, 6123/753 is

GCF of Numerators i.e. for 6451,6123 is 1

LCM of denominators i.e. for 605,753 is 455565.

Thus, GCF of Fractions is 1/455565.Finally, GCF of Fractions for 6451/605, 6123/753 is 1/455565.