How to Find GCF of 5496/604, 7036/9944?

GCF of 5496/604, 7036/9944

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 5496/604, 7036/9944 i.e 4/1501544 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5496/604, 7036/9944.

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 5496/604,7036/9944?

Given fractions are 5496/604,7036/9944

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 5496/604,7036/9944, numerators are 5496,7036

Denominators are 604,9944

The GCF of 5496,7036 is 4 .

LCM of 604,9944 is 1501544.

The greatest common factor of 5496/604,7036/9944 = [GCF of 5496,7036]/[LCM of 604,9944]= 4/1501544

Therefore, the GCF of 5496/604,7036/9944 is 4/1501544.

Greatest Common Factor of 5496,7036

To find the highest common factor of 5496,7036, we have to find the factors of both numbers and list the highest common factor.

The factors of 5496 are 1, 2, 3, 4, 6, 8, 12, 24, 229, 458, 687, 916, 1374, 1832, 2748, 5496

The factors of 7036 are 1, 2, 4, 1759, 3518, 7036

The HCF of 5496,7036 is 4.

Lets's calculate GCF of 5496,7036

Greatest Common Factor (GCF) of 5496,7036 By Common Division

2	5496, 7036
2	2748, 3518
	1374, 1759

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

Greatest Common Factor of 5496,7036 By Matching Biggest Common Factor Method

Now, list down the factors of 5496

1,2,3,4,6,8,12,24,229,458,687,916,1374,1832,2748,5496

Now, list down the factors of 7036

1,2,4,1759,3518,7036

Greatest Common Factor

We found the factors 5496,7036 . The biggest common factor number is the GCF number.
So the greatest common factor 5496,7036 is 4.

Lets's calculate LCM of 604,9944

Lowest Common Multiple of 604,9944 using Common Division

2	604, 9944
2	302, 4972
	151, 2486

∴ So the LCM of the given numbers is 2 x 2 x 151 x 2486 = 1501544

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1501544

Therefore, the GCF of Fractions 5496/604,7036/9944 is 4/1501544

Least Common Multiple of 604,9944 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 604,9944 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(604,9944) = 4

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

GCF(604,9944) x common factors =4 x 1 = 4

LCM(604,9944) = ( 604 × 9944 ) / 4

LCM(604,9944) = 6006176 / 4

LCM(604,9944) = 1501544

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 5496/604, 7036/9944

1. What is the HCF of 5496,7036?

The HCF of 5496,7036 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 5496/604, 7036/9944?

Answer: GCF of Numerators as per given numbers 5496/604, 7036/9944 is

GCF of Numerators i.e. for 5496,7036 is 4

LCM of denominators i.e. for 604,9944 is 1501544.

Thus, GCF of Fractions is 4/1501544.Finally, GCF of Fractions for 5496/604, 7036/9944 is 4/1501544.