GCF of 291/971, 776/108, 671/910
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 291/971, 776/108, 671/910 i.e 1/47714940 easily. The following is the detailed procedure to determine the greatest common factor of fractions 291/971, 776/108, 671/910.
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 291/971,776/108,671/910?
Given fractions are 291/971,776/108,671/910
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 291/971,776/108,671/910, numerators are 291,776,671
Denominators are 971,108,910
The GCF of 291,776,671 is 1 .
LCM of 971,108,910 is 47714940.
The greatest common factor of 291/971,776/108,671/910 = [GCF of 291,776,671]/[LCM of 971,108,910]= 1/47714940
Therefore, the GCF of 291/971,776/108,671/910 is 1/47714940.
To find the highest common factor of 291,776,671, we have to find the factors of both numbers and list the highest common factor.
The factors of 291 are 1, 3, 97, 291
The factors of 776 are 1, 2, 4, 8, 97, 194, 388, 776
The factors of 671 are 1, 11, 61, 671
The HCF of 291,776,671 is 1.
Lets's calculate GCF of 291,776,671
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 291,776,671 By Matching Biggest Common Factor Method
Now, list down the factors of 291
:1,3,97,291
Now, list down the factors of 776
:1,2,4,8,97,194,388,776
Now, list down the factors of 671
:1,11,61,671
Greatest Common Factor
We found the factors 291,776,671 . The biggest common factor number is the GCF number.
So the greatest common factor 291,776,671 is 1.
Lets's calculate LCM of 971,108,910
| 2 | 971, 108, 910 |
| 971, 54, 455 |
∴ So the LCM of the given numbers is 2 x 971 x 54 x 455 = 47714940
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/47714940
Therefore, the GCF of Fractions 291/971,776/108,671/910 is 1/47714940
Least Common Multiple of 971,108,910 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 971,108,910 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(971,108,910) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(971,108,910) x common factors =1 x 2 = 2
LCM(971,108,910) = ( 971 × 108 × 910 ) / 2
LCM(971,108,910) = 95429880 / 2
LCM(971,108,910) = 47714940
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FAQs on GCF of Fractions of 291/971, 776/108, 671/910
1. What is the HCF of 291,776,671?
The HCF of 291,776,671 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 291/971, 776/108, 671/910?
Answer: GCF of Numerators as per given numbers 291/971, 776/108, 671/910 is
GCF of Numerators i.e. for 291,776,671 is 1
LCM of denominators i.e. for 971,108,910 is 47714940.
Thus, GCF of Fractions is 1/47714940.Finally, GCF of Fractions for 291/971, 776/108, 671/910 is 1/47714940.