GCF of 5024/137, 7660/2881
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5024/137, 7660/2881 i.e 4/394697 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5024/137, 7660/2881.
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 5024/137,7660/2881?
Given fractions are 5024/137,7660/2881
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 5024/137,7660/2881, numerators are 5024,7660
Denominators are 137,2881
The GCF of 5024,7660 is 4 .
LCM of 137,2881 is 394697.
The greatest common factor of 5024/137,7660/2881 = [GCF of 5024,7660]/[LCM of 137,2881]= 4/394697
Therefore, the GCF of 5024/137,7660/2881 is 4/394697.
To find the highest common factor of 5024,7660, we have to find the factors of both numbers and list the highest common factor.
The factors of 5024 are 1, 2, 4, 8, 16, 32, 157, 314, 628, 1256, 2512, 5024
The factors of 7660 are 1, 2, 4, 5, 10, 20, 383, 766, 1532, 1915, 3830, 7660
The HCF of 5024,7660 is 4.
Lets's calculate GCF of 5024,7660
| 2 | 5024, 7660 |
| 2 | 2512, 3830 |
| 1256, 1915 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 5024,7660 By Matching Biggest Common Factor Method
Now, list down the factors of 5024
:1,2,4,8,16,32,157,314,628,1256,2512,5024
Now, list down the factors of 7660
:1,2,4,5,10,20,383,766,1532,1915,3830,7660
Greatest Common Factor
We found the factors 5024,7660 . The biggest common factor number is the GCF number.
So the greatest common factor 5024,7660 is 4.
Lets's calculate LCM of 137,2881
Given numbers has no common factors except 1. So, there LCM is their product i.e 394697
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/394697
Therefore, the GCF of Fractions 5024/137,7660/2881 is 4/394697
Least Common Multiple of 137,2881 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 137,2881 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(137,2881) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(137,2881) x common factors =1 x 1 = 1
LCM(137,2881) = ( 137 × 2881 ) / 1
LCM(137,2881) = 394697 / 1
LCM(137,2881) = 394697
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FAQs on GCF of Fractions of 5024/137, 7660/2881
1. What is the HCF of 5024,7660?
The HCF of 5024,7660 is 4
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 5024/137, 7660/2881?
Answer: GCF of Numerators as per given numbers 5024/137, 7660/2881 is
GCF of Numerators i.e. for 5024,7660 is 4
LCM of denominators i.e. for 137,2881 is 394697.
Thus, GCF of Fractions is 4/394697.Finally, GCF of Fractions for 5024/137, 7660/2881 is 4/394697.