How to Find GCF of 796/761, 2844/782?

GCF of 796/761, 2844/782

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 796/761, 2844/782 i.e 4/595102 easily. The following is the detailed procedure to determine the greatest common factor of fractions 796/761, 2844/782.

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 796/761,2844/782?

Given fractions are 796/761,2844/782

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 796/761,2844/782, numerators are 796,2844

Denominators are 761,782

The GCF of 796,2844 is 4 .

LCM of 761,782 is 595102.

The greatest common factor of 796/761,2844/782 = [GCF of 796,2844]/[LCM of 761,782]= 4/595102

Therefore, the GCF of 796/761,2844/782 is 4/595102.

Greatest Common Factor of 796,2844

To find the highest common factor of 796,2844, we have to find the factors of both numbers and list the highest common factor.

The factors of 796 are 1, 2, 4, 199, 398, 796

The factors of 2844 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 79, 158, 237, 316, 474, 711, 948, 1422, 2844

The HCF of 796,2844 is 4.

Lets's calculate GCF of 796,2844

Greatest Common Factor (GCF) of 796,2844 By Common Division

2	796, 2844
2	398, 1422
	199, 711

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 796,2844 By Matching Biggest Common Factor Method

Now, list down the factors of 796

1,2,4,199,398,796

Now, list down the factors of 2844

1,2,3,4,6,9,12,18,36,79,158,237,316,474,711,948,1422,2844

Greatest Common Factor

We found the factors 796,2844 . The biggest common factor number is the GCF number.
So the greatest common factor 796,2844 is 4.

Lets's calculate LCM of 761,782

Lowest Common Multiple of 761,782 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 595102

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/595102

Therefore, the GCF of Fractions 796/761,2844/782 is 4/595102

Least Common Multiple of 761,782 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 761,782 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(761,782) = 1

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

GCF(761,782) x common factors =1 x 1 = 1

LCM(761,782) = ( 761 × 782 ) / 1

LCM(761,782) = 595102 / 1

LCM(761,782) = 595102

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FAQs on GCF of Fractions of 796/761, 2844/782

1. What is the HCF of 796,2844?

The HCF of 796,2844 is 4

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 796/761, 2844/782?

Answer: GCF of Numerators as per given numbers 796/761, 2844/782 is

GCF of Numerators i.e. for 796,2844 is 4

LCM of denominators i.e. for 761,782 is 595102.

Thus, GCF of Fractions is 4/595102.Finally, GCF of Fractions for 796/761, 2844/782 is 4/595102.