How to Find GCF of 552/692, 2416/157?

GCF of 552/692, 2416/157

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 552/692, 2416/157 i.e 8/108644 easily. The following is the detailed procedure to determine the greatest common factor of fractions 552/692, 2416/157.

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 552/692,2416/157?

Given fractions are 552/692,2416/157

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 552/692,2416/157, numerators are 552,2416

Denominators are 692,157

The GCF of 552,2416 is 8 .

LCM of 692,157 is 108644.

The greatest common factor of 552/692,2416/157 = [GCF of 552,2416]/[LCM of 692,157]= 8/108644

Therefore, the GCF of 552/692,2416/157 is 8/108644.

Greatest Common Factor of 552,2416

To find the highest common factor of 552,2416, we have to find the factors of both numbers and list the highest common factor.

The factors of 552 are 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

The factors of 2416 are 1, 2, 4, 8, 16, 151, 302, 604, 1208, 2416

The HCF of 552,2416 is 8.

Lets's calculate GCF of 552,2416

Greatest Common Factor (GCF) of 552,2416 By Common Division

2	552, 2416
2	276, 1208
2	138, 604
	69, 302

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 552,2416 By Matching Biggest Common Factor Method

Now, list down the factors of 552

1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552

Now, list down the factors of 2416

1,2,4,8,16,151,302,604,1208,2416

Greatest Common Factor

We found the factors 552,2416 . The biggest common factor number is the GCF number.
So the greatest common factor 552,2416 is 8.

Lets's calculate LCM of 692,157

Lowest Common Multiple of 692,157 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 108644

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/108644

Therefore, the GCF of Fractions 552/692,2416/157 is 8/108644

Least Common Multiple of 692,157 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 692,157 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(692,157) = 1

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

GCF(692,157) x common factors =1 x 1 = 1

LCM(692,157) = ( 692 × 157 ) / 1

LCM(692,157) = 108644 / 1

LCM(692,157) = 108644

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FAQs on GCF of Fractions of 552/692, 2416/157

1. What is the HCF of 552,2416?

The HCF of 552,2416 is 8

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 552/692, 2416/157?

Answer: GCF of Numerators as per given numbers 552/692, 2416/157 is

GCF of Numerators i.e. for 552,2416 is 8

LCM of denominators i.e. for 692,157 is 108644.

Thus, GCF of Fractions is 8/108644.Finally, GCF of Fractions for 552/692, 2416/157 is 8/108644.