How to Find GCF of 2792/428, 6990/252?

GCF of 2792/428, 6990/252

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 2792/428, 6990/252 i.e 2/26964 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2792/428, 6990/252.

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 2792/428,6990/252?

Given fractions are 2792/428,6990/252

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 2792/428,6990/252, numerators are 2792,6990

Denominators are 428,252

The GCF of 2792,6990 is 2 .

LCM of 428,252 is 26964.

The greatest common factor of 2792/428,6990/252 = [GCF of 2792,6990]/[LCM of 428,252]= 2/26964

Therefore, the GCF of 2792/428,6990/252 is 2/26964.

Greatest Common Factor of 2792,6990

To find the highest common factor of 2792,6990, we have to find the factors of both numbers and list the highest common factor.

The factors of 2792 are 1, 2, 4, 8, 349, 698, 1396, 2792

The factors of 6990 are 1, 2, 3, 5, 6, 10, 15, 30, 233, 466, 699, 1165, 1398, 2330, 3495, 6990

The HCF of 2792,6990 is 2.

Lets's calculate GCF of 2792,6990

Greatest Common Factor (GCF) of 2792,6990 By Common Division

2	2792, 6990
	1396, 3495

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 2792,6990 By Matching Biggest Common Factor Method

Now, list down the factors of 2792

1,2,4,8,349,698,1396,2792

Now, list down the factors of 6990

1,2,3,5,6,10,15,30,233,466,699,1165,1398,2330,3495,6990

Greatest Common Factor

We found the factors 2792,6990 . The biggest common factor number is the GCF number.
So the greatest common factor 2792,6990 is 2.

Lets's calculate LCM of 428,252

Lowest Common Multiple of 428,252 using Common Division

2	428, 252
2	214, 126
	107, 63

∴ So the LCM of the given numbers is 2 x 2 x 107 x 63 = 26964

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/26964

Therefore, the GCF of Fractions 2792/428,6990/252 is 2/26964

Least Common Multiple of 428,252 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 428,252 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(428,252) = 4

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

GCF(428,252) x common factors =4 x 1 = 4

LCM(428,252) = ( 428 × 252 ) / 4

LCM(428,252) = 107856 / 4

LCM(428,252) = 26964

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FAQs on GCF of Fractions of 2792/428, 6990/252

1. What is the HCF of 2792,6990?

The HCF of 2792,6990 is 2

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 2792/428, 6990/252?

Answer: GCF of Numerators as per given numbers 2792/428, 6990/252 is

GCF of Numerators i.e. for 2792,6990 is 2

LCM of denominators i.e. for 428,252 is 26964.

Thus, GCF of Fractions is 2/26964.Finally, GCF of Fractions for 2792/428, 6990/252 is 2/26964.