How to Find GCF of 4052/942, 1053/6310?

GCF of 4052/942, 1053/6310

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 4052/942, 1053/6310 i.e 1/2972010 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4052/942, 1053/6310.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 4052/942,1053/6310?

Given fractions are 4052/942,1053/6310

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 4052/942,1053/6310, numerators are 4052,1053

Denominators are 942,6310

The GCF of 4052,1053 is 1 .

LCM of 942,6310 is 2972010.

The greatest common factor of 4052/942,1053/6310 = [GCF of 4052,1053]/[LCM of 942,6310]= 1/2972010

Therefore, the GCF of 4052/942,1053/6310 is 1/2972010.

Greatest Common Factor of 4052,1053

To find the highest common factor of 4052,1053, we have to find the factors of both numbers and list the highest common factor.

The factors of 4052 are 1, 2, 4, 1013, 2026, 4052

The factors of 1053 are 1, 3, 9, 13, 27, 39, 81, 117, 351, 1053

The HCF of 4052,1053 is 1.

Lets's calculate GCF of 4052,1053

Greatest Common Factor (GCF) of 4052,1053 By Common Division

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

Greatest Common Factor of 4052,1053 By Matching Biggest Common Factor Method

Now, list down the factors of 4052

1,2,4,1013,2026,4052

Now, list down the factors of 1053

1,3,9,13,27,39,81,117,351,1053

Greatest Common Factor

We found the factors 4052,1053 . The biggest common factor number is the GCF number.
So the greatest common factor 4052,1053 is 1.

Lets's calculate LCM of 942,6310

Lowest Common Multiple of 942,6310 using Common Division

2	942, 6310
	471, 3155

∴ So the LCM of the given numbers is 2 x 471 x 3155 = 2972010

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2972010

Therefore, the GCF of Fractions 4052/942,1053/6310 is 1/2972010

Least Common Multiple of 942,6310 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 942,6310 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(942,6310) = 2

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

GCF(942,6310) x common factors =2 x 1 = 2

LCM(942,6310) = ( 942 × 6310 ) / 2

LCM(942,6310) = 5944020 / 2

LCM(942,6310) = 2972010

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FAQs on GCF of Fractions of 4052/942, 1053/6310

1. What is the HCF of 4052,1053?

The HCF of 4052,1053 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 4052/942, 1053/6310?

Answer: GCF of Numerators as per given numbers 4052/942, 1053/6310 is

GCF of Numerators i.e. for 4052,1053 is 1

LCM of denominators i.e. for 942,6310 is 2972010.

Thus, GCF of Fractions is 1/2972010.Finally, GCF of Fractions for 4052/942, 1053/6310 is 1/2972010.