GCF of 2972/917, 2686/4641
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2972/917, 2686/4641 i.e 2/607971 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2972/917, 2686/4641.
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 2972/917,2686/4641?
Given fractions are 2972/917,2686/4641
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 2972/917,2686/4641, numerators are 2972,2686
Denominators are 917,4641
The GCF of 2972,2686 is 2 .
LCM of 917,4641 is 607971.
The greatest common factor of 2972/917,2686/4641 = [GCF of 2972,2686]/[LCM of 917,4641]= 2/607971
Therefore, the GCF of 2972/917,2686/4641 is 2/607971.
To find the highest common factor of 2972,2686, we have to find the factors of both numbers and list the highest common factor.
The factors of 2972 are 1, 2, 4, 743, 1486, 2972
The factors of 2686 are 1, 2, 17, 34, 79, 158, 1343, 2686
The HCF of 2972,2686 is 2.
Lets's calculate GCF of 2972,2686
| 2 | 2972, 2686 |
| 1486, 1343 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2972,2686 By Matching Biggest Common Factor Method
Now, list down the factors of 2972
:1,2,4,743,1486,2972
Now, list down the factors of 2686
:1,2,17,34,79,158,1343,2686
Greatest Common Factor
We found the factors 2972,2686 . The biggest common factor number is the GCF number.
So the greatest common factor 2972,2686 is 2.
Lets's calculate LCM of 917,4641
| 7 | 917, 4641 |
| 131, 663 |
∴ So the LCM of the given numbers is 7 x 131 x 663 = 607971
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/607971
Therefore, the GCF of Fractions 2972/917,2686/4641 is 2/607971
Least Common Multiple of 917,4641 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 917,4641 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(917,4641) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(917,4641) x common factors =7 x 1 = 7
LCM(917,4641) = ( 917 × 4641 ) / 7
LCM(917,4641) = 4255797 / 7
LCM(917,4641) = 607971
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FAQs on GCF of Fractions of 2972/917, 2686/4641
1. What is the HCF of 2972,2686?
The HCF of 2972,2686 is 2
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 2972/917, 2686/4641?
Answer: GCF of Numerators as per given numbers 2972/917, 2686/4641 is
GCF of Numerators i.e. for 2972,2686 is 2
LCM of denominators i.e. for 917,4641 is 607971.
Thus, GCF of Fractions is 2/607971.Finally, GCF of Fractions for 2972/917, 2686/4641 is 2/607971.