GCF of 710/82, 852/6172
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 710/82, 852/6172 i.e 142/253052 easily. The following is the detailed procedure to determine the greatest common factor of fractions 710/82, 852/6172.
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 710/82,852/6172?
Given fractions are 710/82,852/6172
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 710/82,852/6172, numerators are 710,852
Denominators are 82,6172
The GCF of 710,852 is 142 .
LCM of 82,6172 is 253052.
The greatest common factor of 710/82,852/6172 = [GCF of 710,852]/[LCM of 82,6172]= 142/253052
Therefore, the GCF of 710/82,852/6172 is 142/253052.
To find the highest common factor of 710,852, we have to find the factors of both numbers and list the highest common factor.
The factors of 710 are 1, 2, 5, 10, 71, 142, 355, 710
The factors of 852 are 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
The HCF of 710,852 is 142.
Lets's calculate GCF of 710,852
| 2 | 710, 852 |
| 71 | 355, 426 |
| 5, 6 |
∴ So the GCF of the given numbers is 2 x 71 = 142
Greatest Common Factor of 710,852 By Matching Biggest Common Factor Method
Now, list down the factors of 710
:1,2,5,10,71,142,355,710
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 710,852 . The biggest common factor number is the GCF number.
So the greatest common factor 710,852 is 142.
Lets's calculate LCM of 82,6172
| 2 | 82, 6172 |
| 41, 3086 |
∴ So the LCM of the given numbers is 2 x 41 x 3086 = 253052
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 142/253052
Therefore, the GCF of Fractions 710/82,852/6172 is 142/253052
Least Common Multiple of 82,6172 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 82,6172 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(82,6172) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(82,6172) x common factors =2 x 1 = 2
LCM(82,6172) = ( 82 × 6172 ) / 2
LCM(82,6172) = 506104 / 2
LCM(82,6172) = 253052
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FAQs on GCF of Fractions of 710/82, 852/6172
1. What is the HCF of 710,852?
The HCF of 710,852 is 142
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 710/82, 852/6172?
Answer: GCF of Numerators as per given numbers 710/82, 852/6172 is
GCF of Numerators i.e. for 710,852 is 142
LCM of denominators i.e. for 82,6172 is 253052.
Thus, GCF of Fractions is 142/253052.Finally, GCF of Fractions for 710/82, 852/6172 is 142/253052.