GCF of 1297/334, 2997/8676
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1297/334, 2997/8676 i.e 1/1448892 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1297/334, 2997/8676.
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 1297/334,2997/8676?
Given fractions are 1297/334,2997/8676
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 1297/334,2997/8676, numerators are 1297,2997
Denominators are 334,8676
The GCF of 1297,2997 is 1 .
LCM of 334,8676 is 1448892.
The greatest common factor of 1297/334,2997/8676 = [GCF of 1297,2997]/[LCM of 334,8676]= 1/1448892
Therefore, the GCF of 1297/334,2997/8676 is 1/1448892.
To find the highest common factor of 1297,2997, we have to find the factors of both numbers and list the highest common factor.
The factors of 1297 are 1, 1297
The factors of 2997 are 1, 3, 9, 27, 37, 81, 111, 333, 999, 2997
The HCF of 1297,2997 is 1.
Lets's calculate GCF of 1297,2997
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1297,2997 By Matching Biggest Common Factor Method
Now, list down the factors of 1297
:1,1297
Now, list down the factors of 2997
:1,3,9,27,37,81,111,333,999,2997
Greatest Common Factor
We found the factors 1297,2997 . The biggest common factor number is the GCF number.
So the greatest common factor 1297,2997 is 1.
Lets's calculate LCM of 334,8676
| 2 | 334, 8676 |
| 167, 4338 |
∴ So the LCM of the given numbers is 2 x 167 x 4338 = 1448892
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1448892
Therefore, the GCF of Fractions 1297/334,2997/8676 is 1/1448892
Least Common Multiple of 334,8676 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 334,8676 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(334,8676) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(334,8676) x common factors =2 x 1 = 2
LCM(334,8676) = ( 334 × 8676 ) / 2
LCM(334,8676) = 2897784 / 2
LCM(334,8676) = 1448892
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FAQs on GCF of Fractions of 1297/334, 2997/8676
1. What is the HCF of 1297,2997?
The HCF of 1297,2997 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 1297/334, 2997/8676?
Answer: GCF of Numerators as per given numbers 1297/334, 2997/8676 is
GCF of Numerators i.e. for 1297,2997 is 1
LCM of denominators i.e. for 334,8676 is 1448892.
Thus, GCF of Fractions is 1/1448892.Finally, GCF of Fractions for 1297/334, 2997/8676 is 1/1448892.