GCF of 8675/678, 2516/7246
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8675/678, 2516/7246 i.e 1/2456394 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8675/678, 2516/7246.
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 8675/678,2516/7246?
Given fractions are 8675/678,2516/7246
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 8675/678,2516/7246, numerators are 8675,2516
Denominators are 678,7246
The GCF of 8675,2516 is 1 .
LCM of 678,7246 is 2456394.
The greatest common factor of 8675/678,2516/7246 = [GCF of 8675,2516]/[LCM of 678,7246]= 1/2456394
Therefore, the GCF of 8675/678,2516/7246 is 1/2456394.
To find the highest common factor of 8675,2516, we have to find the factors of both numbers and list the highest common factor.
The factors of 8675 are 1, 5, 25, 347, 1735, 8675
The factors of 2516 are 1, 2, 4, 17, 34, 37, 68, 74, 148, 629, 1258, 2516
The HCF of 8675,2516 is 1.
Lets's calculate GCF of 8675,2516
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8675,2516 By Matching Biggest Common Factor Method
Now, list down the factors of 8675
:1,5,25,347,1735,8675
Now, list down the factors of 2516
:1,2,4,17,34,37,68,74,148,629,1258,2516
Greatest Common Factor
We found the factors 8675,2516 . The biggest common factor number is the GCF number.
So the greatest common factor 8675,2516 is 1.
Lets's calculate LCM of 678,7246
| 2 | 678, 7246 |
| 339, 3623 |
∴ So the LCM of the given numbers is 2 x 339 x 3623 = 2456394
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2456394
Therefore, the GCF of Fractions 8675/678,2516/7246 is 1/2456394
Least Common Multiple of 678,7246 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 678,7246 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(678,7246) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(678,7246) x common factors =2 x 1 = 2
LCM(678,7246) = ( 678 × 7246 ) / 2
LCM(678,7246) = 4912788 / 2
LCM(678,7246) = 2456394
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FAQs on GCF of Fractions of 8675/678, 2516/7246
1. What is the HCF of 8675,2516?
The HCF of 8675,2516 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 8675/678, 2516/7246?
Answer: GCF of Numerators as per given numbers 8675/678, 2516/7246 is
GCF of Numerators i.e. for 8675,2516 is 1
LCM of denominators i.e. for 678,7246 is 2456394.
Thus, GCF of Fractions is 1/2456394.Finally, GCF of Fractions for 8675/678, 2516/7246 is 1/2456394.