GCF of 779/427, 9678/4548
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 779/427, 9678/4548 i.e 1/1941996 easily. The following is the detailed procedure to determine the greatest common factor of fractions 779/427, 9678/4548.
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 779/427,9678/4548?
Given fractions are 779/427,9678/4548
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 779/427,9678/4548, numerators are 779,9678
Denominators are 427,4548
The GCF of 779,9678 is 1 .
LCM of 427,4548 is 1941996.
The greatest common factor of 779/427,9678/4548 = [GCF of 779,9678]/[LCM of 427,4548]= 1/1941996
Therefore, the GCF of 779/427,9678/4548 is 1/1941996.
To find the highest common factor of 779,9678, we have to find the factors of both numbers and list the highest common factor.
The factors of 779 are 1, 19, 41, 779
The factors of 9678 are 1, 2, 3, 6, 1613, 3226, 4839, 9678
The HCF of 779,9678 is 1.
Lets's calculate GCF of 779,9678
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 779,9678 By Matching Biggest Common Factor Method
Now, list down the factors of 779
:1,19,41,779
Now, list down the factors of 9678
:1,2,3,6,1613,3226,4839,9678
Greatest Common Factor
We found the factors 779,9678 . The biggest common factor number is the GCF number.
So the greatest common factor 779,9678 is 1.
Lets's calculate LCM of 427,4548
Given numbers has no common factors except 1. So, there LCM is their product i.e 1941996
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1941996
Therefore, the GCF of Fractions 779/427,9678/4548 is 1/1941996
Least Common Multiple of 427,4548 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 427,4548 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(427,4548) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(427,4548) x common factors =1 x 1 = 1
LCM(427,4548) = ( 427 × 4548 ) / 1
LCM(427,4548) = 1941996 / 1
LCM(427,4548) = 1941996
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FAQs on GCF of Fractions of 779/427, 9678/4548
1. What is the HCF of 779,9678?
The HCF of 779,9678 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 779/427, 9678/4548?
Answer: GCF of Numerators as per given numbers 779/427, 9678/4548 is
GCF of Numerators i.e. for 779,9678 is 1
LCM of denominators i.e. for 427,4548 is 1941996.
Thus, GCF of Fractions is 1/1941996.Finally, GCF of Fractions for 779/427, 9678/4548 is 1/1941996.