How to Find GCF of 2628/942, 1499/6712?

GCF of 2628/942, 1499/6712

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 2628/942, 1499/6712 i.e 1/3161352 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2628/942, 1499/6712.

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 2628/942,1499/6712?

Given fractions are 2628/942,1499/6712

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 2628/942,1499/6712, numerators are 2628,1499

Denominators are 942,6712

The GCF of 2628,1499 is 1 .

LCM of 942,6712 is 3161352.

The greatest common factor of 2628/942,1499/6712 = [GCF of 2628,1499]/[LCM of 942,6712]= 1/3161352

Therefore, the GCF of 2628/942,1499/6712 is 1/3161352.

Greatest Common Factor of 2628,1499

To find the highest common factor of 2628,1499, we have to find the factors of both numbers and list the highest common factor.

The factors of 2628 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 73, 146, 219, 292, 438, 657, 876, 1314, 2628

The factors of 1499 are 1, 1499

The HCF of 2628,1499 is 1.

Lets's calculate GCF of 2628,1499

Greatest Common Factor (GCF) of 2628,1499 By Common Division

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

Greatest Common Factor of 2628,1499 By Matching Biggest Common Factor Method

Now, list down the factors of 2628

1,2,3,4,6,9,12,18,36,73,146,219,292,438,657,876,1314,2628

Now, list down the factors of 1499

1,1499

Greatest Common Factor

We found the factors 2628,1499 . The biggest common factor number is the GCF number.
So the greatest common factor 2628,1499 is 1.

Lets's calculate LCM of 942,6712

Lowest Common Multiple of 942,6712 using Common Division

2	942, 6712
	471, 3356

∴ So the LCM of the given numbers is 2 x 471 x 3356 = 3161352

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3161352

Therefore, the GCF of Fractions 2628/942,1499/6712 is 1/3161352

Least Common Multiple of 942,6712 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 942,6712 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(942,6712) = 2

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

GCF(942,6712) x common factors =2 x 1 = 2

LCM(942,6712) = ( 942 × 6712 ) / 2

LCM(942,6712) = 6322704 / 2

LCM(942,6712) = 3161352

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 2628/942, 1499/6712

1. What is the HCF of 2628,1499?

The HCF of 2628,1499 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 2628/942, 1499/6712?

Answer: GCF of Numerators as per given numbers 2628/942, 1499/6712 is

GCF of Numerators i.e. for 2628,1499 is 1

LCM of denominators i.e. for 942,6712 is 3161352.

Thus, GCF of Fractions is 1/3161352.Finally, GCF of Fractions for 2628/942, 1499/6712 is 1/3161352.