GCF of 5227/924, 1857/7271
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5227/924, 1857/7271 i.e 1/610764 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5227/924, 1857/7271.
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 5227/924,1857/7271?
Given fractions are 5227/924,1857/7271
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 5227/924,1857/7271, numerators are 5227,1857
Denominators are 924,7271
The GCF of 5227,1857 is 1 .
LCM of 924,7271 is 610764.
The greatest common factor of 5227/924,1857/7271 = [GCF of 5227,1857]/[LCM of 924,7271]= 1/610764
Therefore, the GCF of 5227/924,1857/7271 is 1/610764.
To find the highest common factor of 5227,1857, we have to find the factors of both numbers and list the highest common factor.
The factors of 5227 are 1, 5227
The factors of 1857 are 1, 3, 619, 1857
The HCF of 5227,1857 is 1.
Lets's calculate GCF of 5227,1857
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5227,1857 By Matching Biggest Common Factor Method
Now, list down the factors of 5227
:1,5227
Now, list down the factors of 1857
:1,3,619,1857
Greatest Common Factor
We found the factors 5227,1857 . The biggest common factor number is the GCF number.
So the greatest common factor 5227,1857 is 1.
Lets's calculate LCM of 924,7271
| 11 | 924, 7271 |
| 84, 661 |
∴ So the LCM of the given numbers is 11 x 84 x 661 = 610764
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/610764
Therefore, the GCF of Fractions 5227/924,1857/7271 is 1/610764
Least Common Multiple of 924,7271 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 924,7271 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(924,7271) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(924,7271) x common factors =11 x 1 = 11
LCM(924,7271) = ( 924 × 7271 ) / 11
LCM(924,7271) = 6718404 / 11
LCM(924,7271) = 610764
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FAQs on GCF of Fractions of 5227/924, 1857/7271
1. What is the HCF of 5227,1857?
The HCF of 5227,1857 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 5227/924, 1857/7271?
Answer: GCF of Numerators as per given numbers 5227/924, 1857/7271 is
GCF of Numerators i.e. for 5227,1857 is 1
LCM of denominators i.e. for 924,7271 is 610764.
Thus, GCF of Fractions is 1/610764.Finally, GCF of Fractions for 5227/924, 1857/7271 is 1/610764.