How to Find GCF of 7404/554, 6260/8837?

GCF of 7404/554, 6260/8837

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 7404/554, 6260/8837 i.e 4/4895698 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7404/554, 6260/8837.

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 7404/554,6260/8837?

Given fractions are 7404/554,6260/8837

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 7404/554,6260/8837, numerators are 7404,6260

Denominators are 554,8837

The GCF of 7404,6260 is 4 .

LCM of 554,8837 is 4895698.

The greatest common factor of 7404/554,6260/8837 = [GCF of 7404,6260]/[LCM of 554,8837]= 4/4895698

Therefore, the GCF of 7404/554,6260/8837 is 4/4895698.

Greatest Common Factor of 7404,6260

To find the highest common factor of 7404,6260, we have to find the factors of both numbers and list the highest common factor.

The factors of 7404 are 1, 2, 3, 4, 6, 12, 617, 1234, 1851, 2468, 3702, 7404

The factors of 6260 are 1, 2, 4, 5, 10, 20, 313, 626, 1252, 1565, 3130, 6260

The HCF of 7404,6260 is 4.

Lets's calculate GCF of 7404,6260

Greatest Common Factor (GCF) of 7404,6260 By Common Division

2	7404, 6260
2	3702, 3130
	1851, 1565

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

Greatest Common Factor of 7404,6260 By Matching Biggest Common Factor Method

Now, list down the factors of 7404

1,2,3,4,6,12,617,1234,1851,2468,3702,7404

Now, list down the factors of 6260

1,2,4,5,10,20,313,626,1252,1565,3130,6260

Greatest Common Factor

We found the factors 7404,6260 . The biggest common factor number is the GCF number.
So the greatest common factor 7404,6260 is 4.

Lets's calculate LCM of 554,8837

Lowest Common Multiple of 554,8837 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4895698

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/4895698

Therefore, the GCF of Fractions 7404/554,6260/8837 is 4/4895698

Least Common Multiple of 554,8837 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 554,8837 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(554,8837) = 1

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

GCF(554,8837) x common factors =1 x 1 = 1

LCM(554,8837) = ( 554 × 8837 ) / 1

LCM(554,8837) = 4895698 / 1

LCM(554,8837) = 4895698

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FAQs on GCF of Fractions of 7404/554, 6260/8837

1. What is the HCF of 7404,6260?

The HCF of 7404,6260 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 7404/554, 6260/8837?

Answer: GCF of Numerators as per given numbers 7404/554, 6260/8837 is

GCF of Numerators i.e. for 7404,6260 is 4

LCM of denominators i.e. for 554,8837 is 4895698.

Thus, GCF of Fractions is 4/4895698.Finally, GCF of Fractions for 7404/554, 6260/8837 is 4/4895698.