How to Find GCF of 416/167, 7851/996?

GCF of 416/167, 7851/996

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 416/167, 7851/996 i.e 1/166332 easily. The following is the detailed procedure to determine the greatest common factor of fractions 416/167, 7851/996.

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 416/167,7851/996?

Given fractions are 416/167,7851/996

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 416/167,7851/996, numerators are 416,7851

Denominators are 167,996

The GCF of 416,7851 is 1 .

LCM of 167,996 is 166332.

The greatest common factor of 416/167,7851/996 = [GCF of 416,7851]/[LCM of 167,996]= 1/166332

Therefore, the GCF of 416/167,7851/996 is 1/166332.

Greatest Common Factor of 416,7851

To find the highest common factor of 416,7851, we have to find the factors of both numbers and list the highest common factor.

The factors of 416 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

The factors of 7851 are 1, 3, 2617, 7851

The HCF of 416,7851 is 1.

Lets's calculate GCF of 416,7851

Greatest Common Factor (GCF) of 416,7851 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 416,7851 By Matching Biggest Common Factor Method

Now, list down the factors of 416

1,2,4,8,13,16,26,32,52,104,208,416

Now, list down the factors of 7851

1,3,2617,7851

Greatest Common Factor

We found the factors 416,7851 . The biggest common factor number is the GCF number.
So the greatest common factor 416,7851 is 1.

Lets's calculate LCM of 167,996

Lowest Common Multiple of 167,996 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 166332

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/166332

Therefore, the GCF of Fractions 416/167,7851/996 is 1/166332

Least Common Multiple of 167,996 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 167,996 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(167,996) = 1

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

GCF(167,996) x common factors =1 x 1 = 1

LCM(167,996) = ( 167 × 996 ) / 1

LCM(167,996) = 166332 / 1

LCM(167,996) = 166332

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FAQs on GCF of Fractions of 416/167, 7851/996

1. What is the HCF of 416,7851?

The HCF of 416,7851 is 1

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 416/167, 7851/996?

Answer: GCF of Numerators as per given numbers 416/167, 7851/996 is

GCF of Numerators i.e. for 416,7851 is 1

LCM of denominators i.e. for 167,996 is 166332.

Thus, GCF of Fractions is 1/166332.Finally, GCF of Fractions for 416/167, 7851/996 is 1/166332.