How to Find GCF of 2420/392, 5606/4324?

GCF of 2420/392, 5606/4324

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 2420/392, 5606/4324 i.e 2/423752 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2420/392, 5606/4324.

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 2420/392,5606/4324?

Given fractions are 2420/392,5606/4324

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 2420/392,5606/4324, numerators are 2420,5606

Denominators are 392,4324

The GCF of 2420,5606 is 2 .

LCM of 392,4324 is 423752.

The greatest common factor of 2420/392,5606/4324 = [GCF of 2420,5606]/[LCM of 392,4324]= 2/423752

Therefore, the GCF of 2420/392,5606/4324 is 2/423752.

Greatest Common Factor of 2420,5606

To find the highest common factor of 2420,5606, we have to find the factors of both numbers and list the highest common factor.

The factors of 2420 are 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 121, 220, 242, 484, 605, 1210, 2420

The factors of 5606 are 1, 2, 2803, 5606

The HCF of 2420,5606 is 2.

Lets's calculate GCF of 2420,5606

Greatest Common Factor (GCF) of 2420,5606 By Common Division

2	2420, 5606
	1210, 2803

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

Greatest Common Factor of 2420,5606 By Matching Biggest Common Factor Method

Now, list down the factors of 2420

1,2,4,5,10,11,20,22,44,55,110,121,220,242,484,605,1210,2420

Now, list down the factors of 5606

1,2,2803,5606

Greatest Common Factor

We found the factors 2420,5606 . The biggest common factor number is the GCF number.
So the greatest common factor 2420,5606 is 2.

Lets's calculate LCM of 392,4324

Lowest Common Multiple of 392,4324 using Common Division

2	392, 4324
2	196, 2162
	98, 1081

∴ So the LCM of the given numbers is 2 x 2 x 98 x 1081 = 423752

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/423752

Therefore, the GCF of Fractions 2420/392,5606/4324 is 2/423752

Least Common Multiple of 392,4324 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 392,4324 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(392,4324) = 4

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

GCF(392,4324) x common factors =4 x 1 = 4

LCM(392,4324) = ( 392 × 4324 ) / 4

LCM(392,4324) = 1695008 / 4

LCM(392,4324) = 423752

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 2420/392, 5606/4324

1. What is the HCF of 2420,5606?

The HCF of 2420,5606 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 2420/392, 5606/4324?

Answer: GCF of Numerators as per given numbers 2420/392, 5606/4324 is

GCF of Numerators i.e. for 2420,5606 is 2

LCM of denominators i.e. for 392,4324 is 423752.

Thus, GCF of Fractions is 2/423752.Finally, GCF of Fractions for 2420/392, 5606/4324 is 2/423752.