GCF of 1857/274, 7729/8976
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1857/274, 7729/8976 i.e 1/1229712 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1857/274, 7729/8976.
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 1857/274,7729/8976?
Given fractions are 1857/274,7729/8976
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 1857/274,7729/8976, numerators are 1857,7729
Denominators are 274,8976
The GCF of 1857,7729 is 1 .
LCM of 274,8976 is 1229712.
The greatest common factor of 1857/274,7729/8976 = [GCF of 1857,7729]/[LCM of 274,8976]= 1/1229712
Therefore, the GCF of 1857/274,7729/8976 is 1/1229712.
To find the highest common factor of 1857,7729, we have to find the factors of both numbers and list the highest common factor.
The factors of 1857 are 1, 3, 619, 1857
The factors of 7729 are 1, 59, 131, 7729
The HCF of 1857,7729 is 1.
Lets's calculate GCF of 1857,7729
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1857,7729 By Matching Biggest Common Factor Method
Now, list down the factors of 1857
:1,3,619,1857
Now, list down the factors of 7729
:1,59,131,7729
Greatest Common Factor
We found the factors 1857,7729 . The biggest common factor number is the GCF number.
So the greatest common factor 1857,7729 is 1.
Lets's calculate LCM of 274,8976
| 2 | 274, 8976 |
| 137, 4488 |
∴ So the LCM of the given numbers is 2 x 137 x 4488 = 1229712
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1229712
Therefore, the GCF of Fractions 1857/274,7729/8976 is 1/1229712
Least Common Multiple of 274,8976 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 274,8976 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(274,8976) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(274,8976) x common factors =2 x 1 = 2
LCM(274,8976) = ( 274 × 8976 ) / 2
LCM(274,8976) = 2459424 / 2
LCM(274,8976) = 1229712
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FAQs on GCF of Fractions of 1857/274, 7729/8976
1. What is the HCF of 1857,7729?
The HCF of 1857,7729 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 1857/274, 7729/8976?
Answer: GCF of Numerators as per given numbers 1857/274, 7729/8976 is
GCF of Numerators i.e. for 1857,7729 is 1
LCM of denominators i.e. for 274,8976 is 1229712.
Thus, GCF of Fractions is 1/1229712.Finally, GCF of Fractions for 1857/274, 7729/8976 is 1/1229712.