How to Find GCF of 167/406, 5256/8338?

GCF of 167/406, 5256/8338

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 167/406, 5256/8338 i.e 1/1692614 easily. The following is the detailed procedure to determine the greatest common factor of fractions 167/406, 5256/8338.

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 167/406,5256/8338?

Given fractions are 167/406,5256/8338

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 167/406,5256/8338, numerators are 167,5256

Denominators are 406,8338

The GCF of 167,5256 is 1 .

LCM of 406,8338 is 1692614.

The greatest common factor of 167/406,5256/8338 = [GCF of 167,5256]/[LCM of 406,8338]= 1/1692614

Therefore, the GCF of 167/406,5256/8338 is 1/1692614.

Greatest Common Factor of 167,5256

To find the highest common factor of 167,5256, we have to find the factors of both numbers and list the highest common factor.

The factors of 167 are 1, 167

The factors of 5256 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 73, 146, 219, 292, 438, 584, 657, 876, 1314, 1752, 2628, 5256

The HCF of 167,5256 is 1.

Lets's calculate GCF of 167,5256

Greatest Common Factor (GCF) of 167,5256 By Common Division

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

Greatest Common Factor of 167,5256 By Matching Biggest Common Factor Method

Now, list down the factors of 167

1,167

Now, list down the factors of 5256

1,2,3,4,6,8,9,12,18,24,36,72,73,146,219,292,438,584,657,876,1314,1752,2628,5256

Greatest Common Factor

We found the factors 167,5256 . The biggest common factor number is the GCF number.
So the greatest common factor 167,5256 is 1.

Lets's calculate LCM of 406,8338

Lowest Common Multiple of 406,8338 using Common Division

2	406, 8338
	203, 4169

∴ So the LCM of the given numbers is 2 x 203 x 4169 = 1692614

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1692614

Therefore, the GCF of Fractions 167/406,5256/8338 is 1/1692614

Least Common Multiple of 406,8338 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 406,8338 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(406,8338) = 2

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

GCF(406,8338) x common factors =2 x 1 = 2

LCM(406,8338) = ( 406 × 8338 ) / 2

LCM(406,8338) = 3385228 / 2

LCM(406,8338) = 1692614

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FAQs on GCF of Fractions of 167/406, 5256/8338

1. What is the HCF of 167,5256?

The HCF of 167,5256 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 167/406, 5256/8338?

Answer: GCF of Numerators as per given numbers 167/406, 5256/8338 is

GCF of Numerators i.e. for 167,5256 is 1

LCM of denominators i.e. for 406,8338 is 1692614.

Thus, GCF of Fractions is 1/1692614.Finally, GCF of Fractions for 167/406, 5256/8338 is 1/1692614.