GCF of 862/492, 8314/310
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 862/492, 8314/310 i.e 2/76260 easily. The following is the detailed procedure to determine the greatest common factor of fractions 862/492, 8314/310.
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 862/492,8314/310?
Given fractions are 862/492,8314/310
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 862/492,8314/310, numerators are 862,8314
Denominators are 492,310
The GCF of 862,8314 is 2 .
LCM of 492,310 is 76260.
The greatest common factor of 862/492,8314/310 = [GCF of 862,8314]/[LCM of 492,310]= 2/76260
Therefore, the GCF of 862/492,8314/310 is 2/76260.
To find the highest common factor of 862,8314, we have to find the factors of both numbers and list the highest common factor.
The factors of 862 are 1, 2, 431, 862
The factors of 8314 are 1, 2, 4157, 8314
The HCF of 862,8314 is 2.
Lets's calculate GCF of 862,8314
| 2 | 862, 8314 |
| 431, 4157 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 862,8314 By Matching Biggest Common Factor Method
Now, list down the factors of 862
:1,2,431,862
Now, list down the factors of 8314
:1,2,4157,8314
Greatest Common Factor
We found the factors 862,8314 . The biggest common factor number is the GCF number.
So the greatest common factor 862,8314 is 2.
Lets's calculate LCM of 492,310
| 2 | 492, 310 |
| 246, 155 |
∴ So the LCM of the given numbers is 2 x 246 x 155 = 76260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/76260
Therefore, the GCF of Fractions 862/492,8314/310 is 2/76260
Least Common Multiple of 492,310 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 492,310 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(492,310) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(492,310) x common factors =2 x 1 = 2
LCM(492,310) = ( 492 × 310 ) / 2
LCM(492,310) = 152520 / 2
LCM(492,310) = 76260
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 862/492, 8314/310
1. What is the HCF of 862,8314?
The HCF of 862,8314 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 862/492, 8314/310?
Answer: GCF of Numerators as per given numbers 862/492, 8314/310 is
GCF of Numerators i.e. for 862,8314 is 2
LCM of denominators i.e. for 492,310 is 76260.
Thus, GCF of Fractions is 2/76260.Finally, GCF of Fractions for 862/492, 8314/310 is 2/76260.