How to Find GCF of 5624/401, 7574/9889?

GCF of 5624/401, 7574/9889

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 5624/401, 7574/9889 i.e 2/3965489 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5624/401, 7574/9889.

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 5624/401,7574/9889?

Given fractions are 5624/401,7574/9889

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 5624/401,7574/9889, numerators are 5624,7574

Denominators are 401,9889

The GCF of 5624,7574 is 2 .

LCM of 401,9889 is 3965489.

The greatest common factor of 5624/401,7574/9889 = [GCF of 5624,7574]/[LCM of 401,9889]= 2/3965489

Therefore, the GCF of 5624/401,7574/9889 is 2/3965489.

Greatest Common Factor of 5624,7574

To find the highest common factor of 5624,7574, we have to find the factors of both numbers and list the highest common factor.

The factors of 5624 are 1, 2, 4, 8, 19, 37, 38, 74, 76, 148, 152, 296, 703, 1406, 2812, 5624

The factors of 7574 are 1, 2, 7, 14, 541, 1082, 3787, 7574

The HCF of 5624,7574 is 2.

Lets's calculate GCF of 5624,7574

Greatest Common Factor (GCF) of 5624,7574 By Common Division

2	5624, 7574
	2812, 3787

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

Greatest Common Factor of 5624,7574 By Matching Biggest Common Factor Method

Now, list down the factors of 5624

1,2,4,8,19,37,38,74,76,148,152,296,703,1406,2812,5624

Now, list down the factors of 7574

1,2,7,14,541,1082,3787,7574

Greatest Common Factor

We found the factors 5624,7574 . The biggest common factor number is the GCF number.
So the greatest common factor 5624,7574 is 2.

Lets's calculate LCM of 401,9889

Lowest Common Multiple of 401,9889 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3965489

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3965489

Therefore, the GCF of Fractions 5624/401,7574/9889 is 2/3965489

Least Common Multiple of 401,9889 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 401,9889 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(401,9889) = 1

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

GCF(401,9889) x common factors =1 x 1 = 1

LCM(401,9889) = ( 401 × 9889 ) / 1

LCM(401,9889) = 3965489 / 1

LCM(401,9889) = 3965489

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FAQs on GCF of Fractions of 5624/401, 7574/9889

1. What is the HCF of 5624,7574?

The HCF of 5624,7574 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 5624/401, 7574/9889?

Answer: GCF of Numerators as per given numbers 5624/401, 7574/9889 is

GCF of Numerators i.e. for 5624,7574 is 2

LCM of denominators i.e. for 401,9889 is 3965489.

Thus, GCF of Fractions is 2/3965489.Finally, GCF of Fractions for 5624/401, 7574/9889 is 2/3965489.