How to Find GCF of 2948/251, 3920/5622?

GCF of 2948/251, 3920/5622

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 2948/251, 3920/5622 i.e 4/1411122 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2948/251, 3920/5622.

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 2948/251,3920/5622?

Given fractions are 2948/251,3920/5622

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 2948/251,3920/5622, numerators are 2948,3920

Denominators are 251,5622

The GCF of 2948,3920 is 4 .

LCM of 251,5622 is 1411122.

The greatest common factor of 2948/251,3920/5622 = [GCF of 2948,3920]/[LCM of 251,5622]= 4/1411122

Therefore, the GCF of 2948/251,3920/5622 is 4/1411122.

Greatest Common Factor of 2948,3920

To find the highest common factor of 2948,3920, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 3920 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 49, 56, 70, 80, 98, 112, 140, 196, 245, 280, 392, 490, 560, 784, 980, 1960, 3920

The HCF of 2948,3920 is 4.

Lets's calculate GCF of 2948,3920

Greatest Common Factor (GCF) of 2948,3920 By Common Division

2	2948, 3920
2	1474, 1960
	737, 980

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

Greatest Common Factor of 2948,3920 By Matching Biggest Common Factor Method

Now, list down the factors of 2948

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

Now, list down the factors of 3920

1,2,4,5,7,8,10,14,16,20,28,35,40,49,56,70,80,98,112,140,196,245,280,392,490,560,784,980,1960,3920

Greatest Common Factor

We found the factors 2948,3920 . The biggest common factor number is the GCF number.
So the greatest common factor 2948,3920 is 4.

Lets's calculate LCM of 251,5622

Lowest Common Multiple of 251,5622 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1411122

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1411122

Therefore, the GCF of Fractions 2948/251,3920/5622 is 4/1411122

Least Common Multiple of 251,5622 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 251,5622 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(251,5622) = 1

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

GCF(251,5622) x common factors =1 x 1 = 1

LCM(251,5622) = ( 251 × 5622 ) / 1

LCM(251,5622) = 1411122 / 1

LCM(251,5622) = 1411122

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 2948/251, 3920/5622

1. What is the HCF of 2948,3920?

The HCF of 2948,3920 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 2948/251, 3920/5622?

Answer: GCF of Numerators as per given numbers 2948/251, 3920/5622 is

GCF of Numerators i.e. for 2948,3920 is 4

LCM of denominators i.e. for 251,5622 is 1411122.

Thus, GCF of Fractions is 4/1411122.Finally, GCF of Fractions for 2948/251, 3920/5622 is 4/1411122.