GCF of 2635/708, 8411/5078
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2635/708, 8411/5078 i.e 1/1797612 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2635/708, 8411/5078.
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 2635/708,8411/5078?
Given fractions are 2635/708,8411/5078
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 2635/708,8411/5078, numerators are 2635,8411
Denominators are 708,5078
The GCF of 2635,8411 is 1 .
LCM of 708,5078 is 1797612.
The greatest common factor of 2635/708,8411/5078 = [GCF of 2635,8411]/[LCM of 708,5078]= 1/1797612
Therefore, the GCF of 2635/708,8411/5078 is 1/1797612.
To find the highest common factor of 2635,8411, we have to find the factors of both numbers and list the highest common factor.
The factors of 2635 are 1, 5, 17, 31, 85, 155, 527, 2635
The factors of 8411 are 1, 13, 647, 8411
The HCF of 2635,8411 is 1.
Lets's calculate GCF of 2635,8411
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2635,8411 By Matching Biggest Common Factor Method
Now, list down the factors of 2635
:1,5,17,31,85,155,527,2635
Now, list down the factors of 8411
:1,13,647,8411
Greatest Common Factor
We found the factors 2635,8411 . The biggest common factor number is the GCF number.
So the greatest common factor 2635,8411 is 1.
Lets's calculate LCM of 708,5078
| 2 | 708, 5078 |
| 354, 2539 |
∴ So the LCM of the given numbers is 2 x 354 x 2539 = 1797612
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1797612
Therefore, the GCF of Fractions 2635/708,8411/5078 is 1/1797612
Least Common Multiple of 708,5078 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 708,5078 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(708,5078) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(708,5078) x common factors =2 x 1 = 2
LCM(708,5078) = ( 708 × 5078 ) / 2
LCM(708,5078) = 3595224 / 2
LCM(708,5078) = 1797612
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2635/708, 8411/5078
1. What is the HCF of 2635,8411?
The HCF of 2635,8411 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 2635/708, 8411/5078?
Answer: GCF of Numerators as per given numbers 2635/708, 8411/5078 is
GCF of Numerators i.e. for 2635,8411 is 1
LCM of denominators i.e. for 708,5078 is 1797612.
Thus, GCF of Fractions is 1/1797612.Finally, GCF of Fractions for 2635/708, 8411/5078 is 1/1797612.