GCF of 5108/361, 7759/778
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5108/361, 7759/778 i.e 1/280858 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5108/361, 7759/778.
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 5108/361,7759/778?
Given fractions are 5108/361,7759/778
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 5108/361,7759/778, numerators are 5108,7759
Denominators are 361,778
The GCF of 5108,7759 is 1 .
LCM of 361,778 is 280858.
The greatest common factor of 5108/361,7759/778 = [GCF of 5108,7759]/[LCM of 361,778]= 1/280858
Therefore, the GCF of 5108/361,7759/778 is 1/280858.
To find the highest common factor of 5108,7759, we have to find the factors of both numbers and list the highest common factor.
The factors of 5108 are 1, 2, 4, 1277, 2554, 5108
The factors of 7759 are 1, 7759
The HCF of 5108,7759 is 1.
Lets's calculate GCF of 5108,7759
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5108,7759 By Matching Biggest Common Factor Method
Now, list down the factors of 5108
:1,2,4,1277,2554,5108
Now, list down the factors of 7759
:1,7759
Greatest Common Factor
We found the factors 5108,7759 . The biggest common factor number is the GCF number.
So the greatest common factor 5108,7759 is 1.
Lets's calculate LCM of 361,778
Given numbers has no common factors except 1. So, there LCM is their product i.e 280858
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/280858
Therefore, the GCF of Fractions 5108/361,7759/778 is 1/280858
Least Common Multiple of 361,778 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 361,778 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(361,778) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(361,778) x common factors =1 x 1 = 1
LCM(361,778) = ( 361 × 778 ) / 1
LCM(361,778) = 280858 / 1
LCM(361,778) = 280858
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FAQs on GCF of Fractions of 5108/361, 7759/778
1. What is the HCF of 5108,7759?
The HCF of 5108,7759 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 5108/361, 7759/778?
Answer: GCF of Numerators as per given numbers 5108/361, 7759/778 is
GCF of Numerators i.e. for 5108,7759 is 1
LCM of denominators i.e. for 361,778 is 280858.
Thus, GCF of Fractions is 1/280858.Finally, GCF of Fractions for 5108/361, 7759/778 is 1/280858.