How to Find GCF of 8924/604, 5844/4220?

GCF of 8924/604, 5844/4220

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 8924/604, 5844/4220 i.e 4/637220 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8924/604, 5844/4220.

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 8924/604,5844/4220?

Given fractions are 8924/604,5844/4220

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 8924/604,5844/4220, numerators are 8924,5844

Denominators are 604,4220

The GCF of 8924,5844 is 4 .

LCM of 604,4220 is 637220.

The greatest common factor of 8924/604,5844/4220 = [GCF of 8924,5844]/[LCM of 604,4220]= 4/637220

Therefore, the GCF of 8924/604,5844/4220 is 4/637220.

Greatest Common Factor of 8924,5844

To find the highest common factor of 8924,5844, we have to find the factors of both numbers and list the highest common factor.

The factors of 8924 are 1, 2, 4, 23, 46, 92, 97, 194, 388, 2231, 4462, 8924

The factors of 5844 are 1, 2, 3, 4, 6, 12, 487, 974, 1461, 1948, 2922, 5844

The HCF of 8924,5844 is 4.

Lets's calculate GCF of 8924,5844

Greatest Common Factor (GCF) of 8924,5844 By Common Division

2	8924, 5844
2	4462, 2922
	2231, 1461

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

Greatest Common Factor of 8924,5844 By Matching Biggest Common Factor Method

Now, list down the factors of 8924

1,2,4,23,46,92,97,194,388,2231,4462,8924

Now, list down the factors of 5844

1,2,3,4,6,12,487,974,1461,1948,2922,5844

Greatest Common Factor

We found the factors 8924,5844 . The biggest common factor number is the GCF number.
So the greatest common factor 8924,5844 is 4.

Lets's calculate LCM of 604,4220

Lowest Common Multiple of 604,4220 using Common Division

2	604, 4220
2	302, 2110
	151, 1055

∴ So the LCM of the given numbers is 2 x 2 x 151 x 1055 = 637220

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/637220

Therefore, the GCF of Fractions 8924/604,5844/4220 is 4/637220

Least Common Multiple of 604,4220 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 604,4220 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(604,4220) = 4

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

GCF(604,4220) x common factors =4 x 1 = 4

LCM(604,4220) = ( 604 × 4220 ) / 4

LCM(604,4220) = 2548880 / 4

LCM(604,4220) = 637220

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 8924/604, 5844/4220

1. What is the HCF of 8924,5844?

The HCF of 8924,5844 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 8924/604, 5844/4220?

Answer: GCF of Numerators as per given numbers 8924/604, 5844/4220 is

GCF of Numerators i.e. for 8924,5844 is 4

LCM of denominators i.e. for 604,4220 is 637220.

Thus, GCF of Fractions is 4/637220.Finally, GCF of Fractions for 8924/604, 5844/4220 is 4/637220.