How to Find GCF of 7117/488, 4870/164?

GCF of 7117/488, 4870/164

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 7117/488, 4870/164 i.e 1/20008 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7117/488, 4870/164.

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 7117/488,4870/164?

Given fractions are 7117/488,4870/164

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 7117/488,4870/164, numerators are 7117,4870

Denominators are 488,164

The GCF of 7117,4870 is 1 .

LCM of 488,164 is 20008.

The greatest common factor of 7117/488,4870/164 = [GCF of 7117,4870]/[LCM of 488,164]= 1/20008

Therefore, the GCF of 7117/488,4870/164 is 1/20008.

Greatest Common Factor of 7117,4870

To find the highest common factor of 7117,4870, we have to find the factors of both numbers and list the highest common factor.

The factors of 7117 are 1, 11, 647, 7117

The factors of 4870 are 1, 2, 5, 10, 487, 974, 2435, 4870

The HCF of 7117,4870 is 1.

Lets's calculate GCF of 7117,4870

Greatest Common Factor (GCF) of 7117,4870 By Common Division

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

Greatest Common Factor of 7117,4870 By Matching Biggest Common Factor Method

Now, list down the factors of 7117

1,11,647,7117

Now, list down the factors of 4870

1,2,5,10,487,974,2435,4870

Greatest Common Factor

We found the factors 7117,4870 . The biggest common factor number is the GCF number.
So the greatest common factor 7117,4870 is 1.

Lets's calculate LCM of 488,164

Lowest Common Multiple of 488,164 using Common Division

2	488, 164
2	244, 82
	122, 41

∴ So the LCM of the given numbers is 2 x 2 x 122 x 41 = 20008

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20008

Therefore, the GCF of Fractions 7117/488,4870/164 is 1/20008

Least Common Multiple of 488,164 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 488,164 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(488,164) = 4

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

GCF(488,164) x common factors =4 x 1 = 4

LCM(488,164) = ( 488 × 164 ) / 4

LCM(488,164) = 80032 / 4

LCM(488,164) = 20008

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FAQs on GCF of Fractions of 7117/488, 4870/164

1. What is the HCF of 7117,4870?

The HCF of 7117,4870 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 7117/488, 4870/164?

Answer: GCF of Numerators as per given numbers 7117/488, 4870/164 is

GCF of Numerators i.e. for 7117,4870 is 1

LCM of denominators i.e. for 488,164 is 20008.

Thus, GCF of Fractions is 1/20008.Finally, GCF of Fractions for 7117/488, 4870/164 is 1/20008.