How to Find GCF of 5424/632, 4038/871?

GCF of 5424/632, 4038/871

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 5424/632, 4038/871 i.e 6/550472 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5424/632, 4038/871.

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 5424/632,4038/871?

Given fractions are 5424/632,4038/871

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 5424/632,4038/871, numerators are 5424,4038

Denominators are 632,871

The GCF of 5424,4038 is 6 .

LCM of 632,871 is 550472.

The greatest common factor of 5424/632,4038/871 = [GCF of 5424,4038]/[LCM of 632,871]= 6/550472

Therefore, the GCF of 5424/632,4038/871 is 6/550472.

Greatest Common Factor of 5424,4038

To find the highest common factor of 5424,4038, we have to find the factors of both numbers and list the highest common factor.

The factors of 5424 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 113, 226, 339, 452, 678, 904, 1356, 1808, 2712, 5424

The factors of 4038 are 1, 2, 3, 6, 673, 1346, 2019, 4038

The HCF of 5424,4038 is 6.

Lets's calculate GCF of 5424,4038

Greatest Common Factor (GCF) of 5424,4038 By Common Division

2	5424, 4038
3	2712, 2019
	904, 673

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 5424,4038 By Matching Biggest Common Factor Method

Now, list down the factors of 5424

1,2,3,4,6,8,12,16,24,48,113,226,339,452,678,904,1356,1808,2712,5424

Now, list down the factors of 4038

1,2,3,6,673,1346,2019,4038

Greatest Common Factor

We found the factors 5424,4038 . The biggest common factor number is the GCF number.
So the greatest common factor 5424,4038 is 6.

Lets's calculate LCM of 632,871

Lowest Common Multiple of 632,871 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 550472

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/550472

Therefore, the GCF of Fractions 5424/632,4038/871 is 6/550472

Least Common Multiple of 632,871 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 632,871 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(632,871) = 1

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

GCF(632,871) x common factors =1 x 1 = 1

LCM(632,871) = ( 632 × 871 ) / 1

LCM(632,871) = 550472 / 1

LCM(632,871) = 550472

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FAQs on GCF of Fractions of 5424/632, 4038/871

1. What is the HCF of 5424,4038?

The HCF of 5424,4038 is 6

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 5424/632, 4038/871?

Answer: GCF of Numerators as per given numbers 5424/632, 4038/871 is

GCF of Numerators i.e. for 5424,4038 is 6

LCM of denominators i.e. for 632,871 is 550472.

Thus, GCF of Fractions is 6/550472.Finally, GCF of Fractions for 5424/632, 4038/871 is 6/550472.