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GCF of 1293/252, 3041/3107

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 1293/252, 3041/3107 i.e 1/782964 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1293/252, 3041/3107.

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 1293/252,3041/3107?

Given fractions are 1293/252,3041/3107

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 1293/252,3041/3107, numerators are 1293,3041

Denominators are 252,3107

The GCF of 1293,3041 is 1 .

LCM of 252,3107 is 782964.

The greatest common factor of 1293/252,3041/3107 = [GCF of 1293,3041]/[LCM of 252,3107]= 1/782964

Therefore, the GCF of 1293/252,3041/3107 is 1/782964.

Greatest Common Factor of 1293,3041

To find the highest common factor of 1293,3041, we have to find the factors of both numbers and list the highest common factor.

The factors of 1293 are 1, 3, 431, 1293

The factors of 3041 are 1, 3041

The HCF of 1293,3041 is 1.

Lets's calculate GCF of 1293,3041

Greatest Common Factor (GCF) of 1293,3041 By Common Division

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

Greatest Common Factor of 1293,3041 By Matching Biggest Common Factor Method

Greatest Common Factor of 1293,3041 By Matching Biggest Common Factor Method

Now, list down the factors of 1293

:

1,3,431,1293

Now, list down the factors of 3041

:

1,3041

Greatest Common Factor

We found the factors 1293,3041 . The biggest common factor number is the GCF number.
So the greatest common factor 1293,3041 is 1.

Lets's calculate LCM of 252,3107

Lowest Common Multiple of 252,3107 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 782964

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/782964

Therefore, the GCF of Fractions 1293/252,3041/3107 is 1/782964

Least Common Multiple of 252,3107 with GCF Formula

Least Common Multiple of 252,3107 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 252,3107 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(252,3107) = 1

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

GCF(252,3107) x common factors =1 x 1 = 1

LCM(252,3107) = ( 252 × 3107 ) / 1

LCM(252,3107) = 782964 / 1

LCM(252,3107) = 782964


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FAQs on GCF of Fractions of 1293/252, 3041/3107

1. What is the HCF of 1293,3041?

The HCF of 1293,3041 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 1293/252, 3041/3107?

Answer: GCF of Numerators as per given numbers 1293/252, 3041/3107 is

GCF of Numerators i.e. for 1293,3041 is 1

LCM of denominators i.e. for 252,3107 is 782964.

Thus, GCF of Fractions is 1/782964.Finally, GCF of Fractions for 1293/252, 3041/3107 is 1/782964.