How to Find GCF of 5224/417, 9532/7076?

GCF of 5224/417, 9532/7076

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 5224/417, 9532/7076 i.e 4/2950692 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5224/417, 9532/7076.

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 5224/417,9532/7076?

Given fractions are 5224/417,9532/7076

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 5224/417,9532/7076, numerators are 5224,9532

Denominators are 417,7076

The GCF of 5224,9532 is 4 .

LCM of 417,7076 is 2950692.

The greatest common factor of 5224/417,9532/7076 = [GCF of 5224,9532]/[LCM of 417,7076]= 4/2950692

Therefore, the GCF of 5224/417,9532/7076 is 4/2950692.

Greatest Common Factor of 5224,9532

To find the highest common factor of 5224,9532, we have to find the factors of both numbers and list the highest common factor.

The factors of 5224 are 1, 2, 4, 8, 653, 1306, 2612, 5224

The factors of 9532 are 1, 2, 4, 2383, 4766, 9532

The HCF of 5224,9532 is 4.

Lets's calculate GCF of 5224,9532

Greatest Common Factor (GCF) of 5224,9532 By Common Division

2	5224, 9532
2	2612, 4766
	1306, 2383

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

Greatest Common Factor of 5224,9532 By Matching Biggest Common Factor Method

Now, list down the factors of 5224

1,2,4,8,653,1306,2612,5224

Now, list down the factors of 9532

1,2,4,2383,4766,9532

Greatest Common Factor

We found the factors 5224,9532 . The biggest common factor number is the GCF number.
So the greatest common factor 5224,9532 is 4.

Lets's calculate LCM of 417,7076

Lowest Common Multiple of 417,7076 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2950692

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2950692

Therefore, the GCF of Fractions 5224/417,9532/7076 is 4/2950692

Least Common Multiple of 417,7076 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 417,7076 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(417,7076) = 1

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

GCF(417,7076) x common factors =1 x 1 = 1

LCM(417,7076) = ( 417 × 7076 ) / 1

LCM(417,7076) = 2950692 / 1

LCM(417,7076) = 2950692

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FAQs on GCF of Fractions of 5224/417, 9532/7076

1. What is the HCF of 5224,9532?

The HCF of 5224,9532 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 5224/417, 9532/7076?

Answer: GCF of Numerators as per given numbers 5224/417, 9532/7076 is

GCF of Numerators i.e. for 5224,9532 is 4

LCM of denominators i.e. for 417,7076 is 2950692.

Thus, GCF of Fractions is 4/2950692.Finally, GCF of Fractions for 5224/417, 9532/7076 is 4/2950692.