GCF of 2779/516, 5901/8357
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2779/516, 5901/8357 i.e 7/4312212 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2779/516, 5901/8357.
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 2779/516,5901/8357?
Given fractions are 2779/516,5901/8357
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 2779/516,5901/8357, numerators are 2779,5901
Denominators are 516,8357
The GCF of 2779,5901 is 7 .
LCM of 516,8357 is 4312212.
The greatest common factor of 2779/516,5901/8357 = [GCF of 2779,5901]/[LCM of 516,8357]= 7/4312212
Therefore, the GCF of 2779/516,5901/8357 is 7/4312212.
To find the highest common factor of 2779,5901, we have to find the factors of both numbers and list the highest common factor.
The factors of 2779 are 1, 7, 397, 2779
The factors of 5901 are 1, 3, 7, 21, 281, 843, 1967, 5901
The HCF of 2779,5901 is 7.
Lets's calculate GCF of 2779,5901
| 7 | 2779, 5901 |
| 397, 843 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 2779,5901 By Matching Biggest Common Factor Method
Now, list down the factors of 2779
:1,7,397,2779
Now, list down the factors of 5901
:1,3,7,21,281,843,1967,5901
Greatest Common Factor
We found the factors 2779,5901 . The biggest common factor number is the GCF number.
So the greatest common factor 2779,5901 is 7.
Lets's calculate LCM of 516,8357
Given numbers has no common factors except 1. So, there LCM is their product i.e 4312212
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/4312212
Therefore, the GCF of Fractions 2779/516,5901/8357 is 7/4312212
Least Common Multiple of 516,8357 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 516,8357 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(516,8357) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(516,8357) x common factors =1 x 1 = 1
LCM(516,8357) = ( 516 × 8357 ) / 1
LCM(516,8357) = 4312212 / 1
LCM(516,8357) = 4312212
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FAQs on GCF of Fractions of 2779/516, 5901/8357
1. What is the HCF of 2779,5901?
The HCF of 2779,5901 is 7
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 2779/516, 5901/8357?
Answer: GCF of Numerators as per given numbers 2779/516, 5901/8357 is
GCF of Numerators i.e. for 2779,5901 is 7
LCM of denominators i.e. for 516,8357 is 4312212.
Thus, GCF of Fractions is 7/4312212.Finally, GCF of Fractions for 2779/516, 5901/8357 is 7/4312212.