GCF of 4157/718, 1027/732
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4157/718, 1027/732 i.e 1/262788 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4157/718, 1027/732.
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 4157/718,1027/732?
Given fractions are 4157/718,1027/732
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 4157/718,1027/732, numerators are 4157,1027
Denominators are 718,732
The GCF of 4157,1027 is 1 .
LCM of 718,732 is 262788.
The greatest common factor of 4157/718,1027/732 = [GCF of 4157,1027]/[LCM of 718,732]= 1/262788
Therefore, the GCF of 4157/718,1027/732 is 1/262788.
To find the highest common factor of 4157,1027, we have to find the factors of both numbers and list the highest common factor.
The factors of 4157 are 1, 4157
The factors of 1027 are 1, 13, 79, 1027
The HCF of 4157,1027 is 1.
Lets's calculate GCF of 4157,1027
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4157,1027 By Matching Biggest Common Factor Method
Now, list down the factors of 4157
:1,4157
Now, list down the factors of 1027
:1,13,79,1027
Greatest Common Factor
We found the factors 4157,1027 . The biggest common factor number is the GCF number.
So the greatest common factor 4157,1027 is 1.
Lets's calculate LCM of 718,732
| 2 | 718, 732 |
| 359, 366 |
∴ So the LCM of the given numbers is 2 x 359 x 366 = 262788
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/262788
Therefore, the GCF of Fractions 4157/718,1027/732 is 1/262788
Least Common Multiple of 718,732 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 718,732 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(718,732) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(718,732) x common factors =2 x 1 = 2
LCM(718,732) = ( 718 × 732 ) / 2
LCM(718,732) = 525576 / 2
LCM(718,732) = 262788
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FAQs on GCF of Fractions of 4157/718, 1027/732
1. What is the HCF of 4157,1027?
The HCF of 4157,1027 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 4157/718, 1027/732?
Answer: GCF of Numerators as per given numbers 4157/718, 1027/732 is
GCF of Numerators i.e. for 4157,1027 is 1
LCM of denominators i.e. for 718,732 is 262788.
Thus, GCF of Fractions is 1/262788.Finally, GCF of Fractions for 4157/718, 1027/732 is 1/262788.