GCF of 2979/391, 1042/767
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2979/391, 1042/767 i.e 1/299897 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2979/391, 1042/767.
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 2979/391,1042/767?
Given fractions are 2979/391,1042/767
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 2979/391,1042/767, numerators are 2979,1042
Denominators are 391,767
The GCF of 2979,1042 is 1 .
LCM of 391,767 is 299897.
The greatest common factor of 2979/391,1042/767 = [GCF of 2979,1042]/[LCM of 391,767]= 1/299897
Therefore, the GCF of 2979/391,1042/767 is 1/299897.
To find the highest common factor of 2979,1042, we have to find the factors of both numbers and list the highest common factor.
The factors of 2979 are 1, 3, 9, 331, 993, 2979
The factors of 1042 are 1, 2, 521, 1042
The HCF of 2979,1042 is 1.
Lets's calculate GCF of 2979,1042
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2979,1042 By Matching Biggest Common Factor Method
Now, list down the factors of 2979
:1,3,9,331,993,2979
Now, list down the factors of 1042
:1,2,521,1042
Greatest Common Factor
We found the factors 2979,1042 . The biggest common factor number is the GCF number.
So the greatest common factor 2979,1042 is 1.
Lets's calculate LCM of 391,767
Given numbers has no common factors except 1. So, there LCM is their product i.e 299897
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/299897
Therefore, the GCF of Fractions 2979/391,1042/767 is 1/299897
Least Common Multiple of 391,767 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 391,767 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(391,767) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(391,767) x common factors =1 x 1 = 1
LCM(391,767) = ( 391 × 767 ) / 1
LCM(391,767) = 299897 / 1
LCM(391,767) = 299897
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FAQs on GCF of Fractions of 2979/391, 1042/767
1. What is the HCF of 2979,1042?
The HCF of 2979,1042 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 2979/391, 1042/767?
Answer: GCF of Numerators as per given numbers 2979/391, 1042/767 is
GCF of Numerators i.e. for 2979,1042 is 1
LCM of denominators i.e. for 391,767 is 299897.
Thus, GCF of Fractions is 1/299897.Finally, GCF of Fractions for 2979/391, 1042/767 is 1/299897.