GCF of 2927/971, 1958/2342
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2927/971, 1958/2342 i.e 1/2274082 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2927/971, 1958/2342.
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 2927/971,1958/2342?
Given fractions are 2927/971,1958/2342
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 2927/971,1958/2342, numerators are 2927,1958
Denominators are 971,2342
The GCF of 2927,1958 is 1 .
LCM of 971,2342 is 2274082.
The greatest common factor of 2927/971,1958/2342 = [GCF of 2927,1958]/[LCM of 971,2342]= 1/2274082
Therefore, the GCF of 2927/971,1958/2342 is 1/2274082.
To find the highest common factor of 2927,1958, we have to find the factors of both numbers and list the highest common factor.
The factors of 2927 are 1, 2927
The factors of 1958 are 1, 2, 11, 22, 89, 178, 979, 1958
The HCF of 2927,1958 is 1.
Lets's calculate GCF of 2927,1958
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2927,1958 By Matching Biggest Common Factor Method
Now, list down the factors of 2927
:1,2927
Now, list down the factors of 1958
:1,2,11,22,89,178,979,1958
Greatest Common Factor
We found the factors 2927,1958 . The biggest common factor number is the GCF number.
So the greatest common factor 2927,1958 is 1.
Lets's calculate LCM of 971,2342
Given numbers has no common factors except 1. So, there LCM is their product i.e 2274082
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2274082
Therefore, the GCF of Fractions 2927/971,1958/2342 is 1/2274082
Least Common Multiple of 971,2342 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 971,2342 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(971,2342) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(971,2342) x common factors =1 x 1 = 1
LCM(971,2342) = ( 971 × 2342 ) / 1
LCM(971,2342) = 2274082 / 1
LCM(971,2342) = 2274082
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FAQs on GCF of Fractions of 2927/971, 1958/2342
1. What is the HCF of 2927,1958?
The HCF of 2927,1958 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 2927/971, 1958/2342?
Answer: GCF of Numerators as per given numbers 2927/971, 1958/2342 is
GCF of Numerators i.e. for 2927,1958 is 1
LCM of denominators i.e. for 971,2342 is 2274082.
Thus, GCF of Fractions is 1/2274082.Finally, GCF of Fractions for 2927/971, 1958/2342 is 1/2274082.