GCF of 6779/758, 5177/1634
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6779/758, 5177/1634 i.e 1/619286 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6779/758, 5177/1634.
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 6779/758,5177/1634?
Given fractions are 6779/758,5177/1634
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 6779/758,5177/1634, numerators are 6779,5177
Denominators are 758,1634
The GCF of 6779,5177 is 1 .
LCM of 758,1634 is 619286.
The greatest common factor of 6779/758,5177/1634 = [GCF of 6779,5177]/[LCM of 758,1634]= 1/619286
Therefore, the GCF of 6779/758,5177/1634 is 1/619286.
To find the highest common factor of 6779,5177, we have to find the factors of both numbers and list the highest common factor.
The factors of 6779 are 1, 6779
The factors of 5177 are 1, 31, 167, 5177
The HCF of 6779,5177 is 1.
Lets's calculate GCF of 6779,5177
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6779,5177 By Matching Biggest Common Factor Method
Now, list down the factors of 6779
:1,6779
Now, list down the factors of 5177
:1,31,167,5177
Greatest Common Factor
We found the factors 6779,5177 . The biggest common factor number is the GCF number.
So the greatest common factor 6779,5177 is 1.
Lets's calculate LCM of 758,1634
| 2 | 758, 1634 |
| 379, 817 |
∴ So the LCM of the given numbers is 2 x 379 x 817 = 619286
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/619286
Therefore, the GCF of Fractions 6779/758,5177/1634 is 1/619286
Least Common Multiple of 758,1634 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 758,1634 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(758,1634) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(758,1634) x common factors =2 x 1 = 2
LCM(758,1634) = ( 758 × 1634 ) / 2
LCM(758,1634) = 1238572 / 2
LCM(758,1634) = 619286
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FAQs on GCF of Fractions of 6779/758, 5177/1634
1. What is the HCF of 6779,5177?
The HCF of 6779,5177 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 6779/758, 5177/1634?
Answer: GCF of Numerators as per given numbers 6779/758, 5177/1634 is
GCF of Numerators i.e. for 6779,5177 is 1
LCM of denominators i.e. for 758,1634 is 619286.
Thus, GCF of Fractions is 1/619286.Finally, GCF of Fractions for 6779/758, 5177/1634 is 1/619286.