How to Find GCF of 4756/797, 2948/137?

GCF of 4756/797, 2948/137

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 4756/797, 2948/137 i.e 4/109189 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4756/797, 2948/137.

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 4756/797,2948/137?

Given fractions are 4756/797,2948/137

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 4756/797,2948/137, numerators are 4756,2948

Denominators are 797,137

The GCF of 4756,2948 is 4 .

LCM of 797,137 is 109189.

The greatest common factor of 4756/797,2948/137 = [GCF of 4756,2948]/[LCM of 797,137]= 4/109189

Therefore, the GCF of 4756/797,2948/137 is 4/109189.

Greatest Common Factor of 4756,2948

To find the highest common factor of 4756,2948, we have to find the factors of both numbers and list the highest common factor.

The factors of 4756 are 1, 2, 4, 29, 41, 58, 82, 116, 164, 1189, 2378, 4756

The factors of 2948 are 1, 2, 4, 11, 22, 44, 67, 134, 268, 737, 1474, 2948

The HCF of 4756,2948 is 4.

Lets's calculate GCF of 4756,2948

Greatest Common Factor (GCF) of 4756,2948 By Common Division

2	4756, 2948
2	2378, 1474
	1189, 737

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

Greatest Common Factor of 4756,2948 By Matching Biggest Common Factor Method

Now, list down the factors of 4756

1,2,4,29,41,58,82,116,164,1189,2378,4756

Now, list down the factors of 2948

1,2,4,11,22,44,67,134,268,737,1474,2948

Greatest Common Factor

We found the factors 4756,2948 . The biggest common factor number is the GCF number.
So the greatest common factor 4756,2948 is 4.

Lets's calculate LCM of 797,137

Lowest Common Multiple of 797,137 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 109189

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/109189

Therefore, the GCF of Fractions 4756/797,2948/137 is 4/109189

Least Common Multiple of 797,137 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 797,137 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(797,137) = 1

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

GCF(797,137) x common factors =1 x 1 = 1

LCM(797,137) = ( 797 × 137 ) / 1

LCM(797,137) = 109189 / 1

LCM(797,137) = 109189

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FAQs on GCF of Fractions of 4756/797, 2948/137

1. What is the HCF of 4756,2948?

The HCF of 4756,2948 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 4756/797, 2948/137?

Answer: GCF of Numerators as per given numbers 4756/797, 2948/137 is

GCF of Numerators i.e. for 4756,2948 is 4

LCM of denominators i.e. for 797,137 is 109189.

Thus, GCF of Fractions is 4/109189.Finally, GCF of Fractions for 4756/797, 2948/137 is 4/109189.