GCF of 987/35, 852/260
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 987/35, 852/260 i.e 3/1820 easily. The following is the detailed procedure to determine the greatest common factor of fractions 987/35, 852/260.
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 987/35,852/260?
Given fractions are 987/35,852/260
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 987/35,852/260, numerators are 987,852
Denominators are 35,260
The GCF of 987,852 is 3 .
LCM of 35,260 is 1820.
The greatest common factor of 987/35,852/260 = [GCF of 987,852]/[LCM of 35,260]= 3/1820
Therefore, the GCF of 987/35,852/260 is 3/1820.
To find the highest common factor of 987,852, we have to find the factors of both numbers and list the highest common factor.
The factors of 987 are 1, 3, 7, 21, 47, 141, 329, 987
The factors of 852 are 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
The HCF of 987,852 is 3.
Lets's calculate GCF of 987,852
| 3 | 987, 852 |
| 329, 284 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 987,852 By Matching Biggest Common Factor Method
Now, list down the factors of 987
:1,3,7,21,47,141,329,987
Now, list down the factors of 852
:1,2,3,4,6,12,71,142,213,284,426,852
Greatest Common Factor
We found the factors 987,852 . The biggest common factor number is the GCF number.
So the greatest common factor 987,852 is 3.
Lets's calculate LCM of 35,260
| 5 | 35, 260 |
| 7, 52 |
∴ So the LCM of the given numbers is 5 x 7 x 52 = 1820
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1820
Therefore, the GCF of Fractions 987/35,852/260 is 3/1820
Least Common Multiple of 35,260 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 35,260 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(35,260) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(35,260) x common factors =5 x 1 = 5
LCM(35,260) = ( 35 × 260 ) / 5
LCM(35,260) = 9100 / 5
LCM(35,260) = 1820
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 987/35, 852/260
1. What is the HCF of 987,852?
The HCF of 987,852 is 3
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 987/35, 852/260?
Answer: GCF of Numerators as per given numbers 987/35, 852/260 is
GCF of Numerators i.e. for 987,852 is 3
LCM of denominators i.e. for 35,260 is 1820.
Thus, GCF of Fractions is 3/1820.Finally, GCF of Fractions for 987/35, 852/260 is 3/1820.