GCF of 48/34, 779/21, 971/115
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 48/34, 779/21, 971/115 i.e 1/82110 easily. The following is the detailed procedure to determine the greatest common factor of fractions 48/34, 779/21, 971/115.
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 48/34,779/21,971/115?
Given fractions are 48/34,779/21,971/115
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 48/34,779/21,971/115, numerators are 48,779,971
Denominators are 34,21,115
The GCF of 48,779,971 is 1 .
LCM of 34,21,115 is 82110.
The greatest common factor of 48/34,779/21,971/115 = [GCF of 48,779,971]/[LCM of 34,21,115]= 1/82110
Therefore, the GCF of 48/34,779/21,971/115 is 1/82110.
To find the highest common factor of 48,779,971, we have to find the factors of both numbers and list the highest common factor.
The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
The factors of 779 are 1, 19, 41, 779
The factors of 971 are 1, 971
The HCF of 48,779,971 is 1.
Lets's calculate GCF of 48,779,971
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 48,779,971 By Matching Biggest Common Factor Method
Now, list down the factors of 48
:1,2,3,4,6,8,12,16,24,48
Now, list down the factors of 779
:1,19,41,779
Now, list down the factors of 971
:1,971
Greatest Common Factor
We found the factors 48,779,971 . The biggest common factor number is the GCF number.
So the greatest common factor 48,779,971 is 1.
Lets's calculate LCM of 34,21,115
Given numbers has no common factors except 1. So, there LCM is their product i.e 82110
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/82110
Therefore, the GCF of Fractions 48/34,779/21,971/115 is 1/82110
Least Common Multiple of 34,21,115 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 34,21,115 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(34,21,115) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(34,21,115) x common factors =1 x 1 = 1
LCM(34,21,115) = ( 34 × 21 × 115 ) / 1
LCM(34,21,115) = 82110 / 1
LCM(34,21,115) = 82110
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 48/34, 779/21, 971/115
1. What is the HCF of 48,779,971?
The HCF of 48,779,971 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 48/34, 779/21, 971/115?
Answer: GCF of Numerators as per given numbers 48/34, 779/21, 971/115 is
GCF of Numerators i.e. for 48,779,971 is 1
LCM of denominators i.e. for 34,21,115 is 82110.
Thus, GCF of Fractions is 1/82110.Finally, GCF of Fractions for 48/34, 779/21, 971/115 is 1/82110.