GCF of 2793/334, 7971/2658
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2793/334, 7971/2658 i.e 3/443886 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2793/334, 7971/2658.
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 2793/334,7971/2658?
Given fractions are 2793/334,7971/2658
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 2793/334,7971/2658, numerators are 2793,7971
Denominators are 334,2658
The GCF of 2793,7971 is 3 .
LCM of 334,2658 is 443886.
The greatest common factor of 2793/334,7971/2658 = [GCF of 2793,7971]/[LCM of 334,2658]= 3/443886
Therefore, the GCF of 2793/334,7971/2658 is 3/443886.
To find the highest common factor of 2793,7971, we have to find the factors of both numbers and list the highest common factor.
The factors of 2793 are 1, 3, 7, 19, 21, 49, 57, 133, 147, 399, 931, 2793
The factors of 7971 are 1, 3, 2657, 7971
The HCF of 2793,7971 is 3.
Lets's calculate GCF of 2793,7971
| 3 | 2793, 7971 |
| 931, 2657 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2793,7971 By Matching Biggest Common Factor Method
Now, list down the factors of 2793
:1,3,7,19,21,49,57,133,147,399,931,2793
Now, list down the factors of 7971
:1,3,2657,7971
Greatest Common Factor
We found the factors 2793,7971 . The biggest common factor number is the GCF number.
So the greatest common factor 2793,7971 is 3.
Lets's calculate LCM of 334,2658
| 2 | 334, 2658 |
| 167, 1329 |
∴ So the LCM of the given numbers is 2 x 167 x 1329 = 443886
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/443886
Therefore, the GCF of Fractions 2793/334,7971/2658 is 3/443886
Least Common Multiple of 334,2658 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 334,2658 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(334,2658) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(334,2658) x common factors =2 x 1 = 2
LCM(334,2658) = ( 334 × 2658 ) / 2
LCM(334,2658) = 887772 / 2
LCM(334,2658) = 443886
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FAQs on GCF of Fractions of 2793/334, 7971/2658
1. What is the HCF of 2793,7971?
The HCF of 2793,7971 is 3
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 2793/334, 7971/2658?
Answer: GCF of Numerators as per given numbers 2793/334, 7971/2658 is
GCF of Numerators i.e. for 2793,7971 is 3
LCM of denominators i.e. for 334,2658 is 443886.
Thus, GCF of Fractions is 3/443886.Finally, GCF of Fractions for 2793/334, 7971/2658 is 3/443886.