GCF of 2172/558, 2917/8187
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2172/558, 2917/8187 i.e 1/1522782 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2172/558, 2917/8187.
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 2172/558,2917/8187?
Given fractions are 2172/558,2917/8187
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 2172/558,2917/8187, numerators are 2172,2917
Denominators are 558,8187
The GCF of 2172,2917 is 1 .
LCM of 558,8187 is 1522782.
The greatest common factor of 2172/558,2917/8187 = [GCF of 2172,2917]/[LCM of 558,8187]= 1/1522782
Therefore, the GCF of 2172/558,2917/8187 is 1/1522782.
To find the highest common factor of 2172,2917, we have to find the factors of both numbers and list the highest common factor.
The factors of 2172 are 1, 2, 3, 4, 6, 12, 181, 362, 543, 724, 1086, 2172
The factors of 2917 are 1, 2917
The HCF of 2172,2917 is 1.
Lets's calculate GCF of 2172,2917
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2172,2917 By Matching Biggest Common Factor Method
Now, list down the factors of 2172
:1,2,3,4,6,12,181,362,543,724,1086,2172
Now, list down the factors of 2917
:1,2917
Greatest Common Factor
We found the factors 2172,2917 . The biggest common factor number is the GCF number.
So the greatest common factor 2172,2917 is 1.
Lets's calculate LCM of 558,8187
| 3 | 558, 8187 |
| 186, 2729 |
∴ So the LCM of the given numbers is 3 x 186 x 2729 = 1522782
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1522782
Therefore, the GCF of Fractions 2172/558,2917/8187 is 1/1522782
Least Common Multiple of 558,8187 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 558,8187 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(558,8187) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(558,8187) x common factors =3 x 1 = 3
LCM(558,8187) = ( 558 × 8187 ) / 3
LCM(558,8187) = 4568346 / 3
LCM(558,8187) = 1522782
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FAQs on GCF of Fractions of 2172/558, 2917/8187
1. What is the HCF of 2172,2917?
The HCF of 2172,2917 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 2172/558, 2917/8187?
Answer: GCF of Numerators as per given numbers 2172/558, 2917/8187 is
GCF of Numerators i.e. for 2172,2917 is 1
LCM of denominators i.e. for 558,8187 is 1522782.
Thus, GCF of Fractions is 1/1522782.Finally, GCF of Fractions for 2172/558, 2917/8187 is 1/1522782.