GCF of 2929/746, 6977/8764
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2929/746, 6977/8764 i.e 1/3268972 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2929/746, 6977/8764.
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 2929/746,6977/8764?
Given fractions are 2929/746,6977/8764
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 2929/746,6977/8764, numerators are 2929,6977
Denominators are 746,8764
The GCF of 2929,6977 is 1 .
LCM of 746,8764 is 3268972.
The greatest common factor of 2929/746,6977/8764 = [GCF of 2929,6977]/[LCM of 746,8764]= 1/3268972
Therefore, the GCF of 2929/746,6977/8764 is 1/3268972.
To find the highest common factor of 2929,6977, we have to find the factors of both numbers and list the highest common factor.
The factors of 2929 are 1, 29, 101, 2929
The factors of 6977 are 1, 6977
The HCF of 2929,6977 is 1.
Lets's calculate GCF of 2929,6977
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2929,6977 By Matching Biggest Common Factor Method
Now, list down the factors of 2929
:1,29,101,2929
Now, list down the factors of 6977
:1,6977
Greatest Common Factor
We found the factors 2929,6977 . The biggest common factor number is the GCF number.
So the greatest common factor 2929,6977 is 1.
Lets's calculate LCM of 746,8764
| 2 | 746, 8764 |
| 373, 4382 |
∴ So the LCM of the given numbers is 2 x 373 x 4382 = 3268972
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3268972
Therefore, the GCF of Fractions 2929/746,6977/8764 is 1/3268972
Least Common Multiple of 746,8764 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 746,8764 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(746,8764) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(746,8764) x common factors =2 x 1 = 2
LCM(746,8764) = ( 746 × 8764 ) / 2
LCM(746,8764) = 6537944 / 2
LCM(746,8764) = 3268972
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FAQs on GCF of Fractions of 2929/746, 6977/8764
1. What is the HCF of 2929,6977?
The HCF of 2929,6977 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 2929/746, 6977/8764?
Answer: GCF of Numerators as per given numbers 2929/746, 6977/8764 is
GCF of Numerators i.e. for 2929,6977 is 1
LCM of denominators i.e. for 746,8764 is 3268972.
Thus, GCF of Fractions is 1/3268972.Finally, GCF of Fractions for 2929/746, 6977/8764 is 1/3268972.