GCF of 872/968, 8610/530
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 872/968, 8610/530 i.e 2/256520 easily. The following is the detailed procedure to determine the greatest common factor of fractions 872/968, 8610/530.
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 872/968,8610/530?
Given fractions are 872/968,8610/530
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 872/968,8610/530, numerators are 872,8610
Denominators are 968,530
The GCF of 872,8610 is 2 .
LCM of 968,530 is 256520.
The greatest common factor of 872/968,8610/530 = [GCF of 872,8610]/[LCM of 968,530]= 2/256520
Therefore, the GCF of 872/968,8610/530 is 2/256520.
To find the highest common factor of 872,8610, we have to find the factors of both numbers and list the highest common factor.
The factors of 872 are 1, 2, 4, 8, 109, 218, 436, 872
The factors of 8610 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 41, 42, 70, 82, 105, 123, 205, 210, 246, 287, 410, 574, 615, 861, 1230, 1435, 1722, 2870, 4305, 8610
The HCF of 872,8610 is 2.
Lets's calculate GCF of 872,8610
| 2 | 872, 8610 |
| 436, 4305 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 872,8610 By Matching Biggest Common Factor Method
Now, list down the factors of 872
:1,2,4,8,109,218,436,872
Now, list down the factors of 8610
:1,2,3,5,6,7,10,14,15,21,30,35,41,42,70,82,105,123,205,210,246,287,410,574,615,861,1230,1435,1722,2870,4305,8610
Greatest Common Factor
We found the factors 872,8610 . The biggest common factor number is the GCF number.
So the greatest common factor 872,8610 is 2.
Lets's calculate LCM of 968,530
| 2 | 968, 530 |
| 484, 265 |
∴ So the LCM of the given numbers is 2 x 484 x 265 = 256520
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/256520
Therefore, the GCF of Fractions 872/968,8610/530 is 2/256520
Least Common Multiple of 968,530 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 968,530 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(968,530) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(968,530) x common factors =2 x 1 = 2
LCM(968,530) = ( 968 × 530 ) / 2
LCM(968,530) = 513040 / 2
LCM(968,530) = 256520
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 872/968, 8610/530
1. What is the HCF of 872,8610?
The HCF of 872,8610 is 2
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 872/968, 8610/530?
Answer: GCF of Numerators as per given numbers 872/968, 8610/530 is
GCF of Numerators i.e. for 872,8610 is 2
LCM of denominators i.e. for 968,530 is 256520.
Thus, GCF of Fractions is 2/256520.Finally, GCF of Fractions for 872/968, 8610/530 is 2/256520.