How to Find GCF of 5524/355, 6220/752?

GCF of 5524/355, 6220/752

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 5524/355, 6220/752 i.e 4/266960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5524/355, 6220/752.

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 5524/355,6220/752?

Given fractions are 5524/355,6220/752

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 5524/355,6220/752, numerators are 5524,6220

Denominators are 355,752

The GCF of 5524,6220 is 4 .

LCM of 355,752 is 266960.

The greatest common factor of 5524/355,6220/752 = [GCF of 5524,6220]/[LCM of 355,752]= 4/266960

Therefore, the GCF of 5524/355,6220/752 is 4/266960.

Greatest Common Factor of 5524,6220

To find the highest common factor of 5524,6220, we have to find the factors of both numbers and list the highest common factor.

The factors of 5524 are 1, 2, 4, 1381, 2762, 5524

The factors of 6220 are 1, 2, 4, 5, 10, 20, 311, 622, 1244, 1555, 3110, 6220

The HCF of 5524,6220 is 4.

Lets's calculate GCF of 5524,6220

Greatest Common Factor (GCF) of 5524,6220 By Common Division

2	5524, 6220
2	2762, 3110
	1381, 1555

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

Greatest Common Factor of 5524,6220 By Matching Biggest Common Factor Method

Now, list down the factors of 5524

1,2,4,1381,2762,5524

Now, list down the factors of 6220

1,2,4,5,10,20,311,622,1244,1555,3110,6220

Greatest Common Factor

We found the factors 5524,6220 . The biggest common factor number is the GCF number.
So the greatest common factor 5524,6220 is 4.

Lets's calculate LCM of 355,752

Lowest Common Multiple of 355,752 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 266960

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/266960

Therefore, the GCF of Fractions 5524/355,6220/752 is 4/266960

Least Common Multiple of 355,752 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 355,752 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(355,752) = 1

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

GCF(355,752) x common factors =1 x 1 = 1

LCM(355,752) = ( 355 × 752 ) / 1

LCM(355,752) = 266960 / 1

LCM(355,752) = 266960

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FAQs on GCF of Fractions of 5524/355, 6220/752

1. What is the HCF of 5524,6220?

The HCF of 5524,6220 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 5524/355, 6220/752?

Answer: GCF of Numerators as per given numbers 5524/355, 6220/752 is

GCF of Numerators i.e. for 5524,6220 is 4

LCM of denominators i.e. for 355,752 is 266960.

Thus, GCF of Fractions is 4/266960.Finally, GCF of Fractions for 5524/355, 6220/752 is 4/266960.