GCF of 1129/358, 8817/2685
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1129/358, 8817/2685 i.e 1/5370 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1129/358, 8817/2685.
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 1129/358,8817/2685?
Given fractions are 1129/358,8817/2685
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 1129/358,8817/2685, numerators are 1129,8817
Denominators are 358,2685
The GCF of 1129,8817 is 1 .
LCM of 358,2685 is 5370.
The greatest common factor of 1129/358,8817/2685 = [GCF of 1129,8817]/[LCM of 358,2685]= 1/5370
Therefore, the GCF of 1129/358,8817/2685 is 1/5370.
To find the highest common factor of 1129,8817, we have to find the factors of both numbers and list the highest common factor.
The factors of 1129 are 1, 1129
The factors of 8817 are 1, 3, 2939, 8817
The HCF of 1129,8817 is 1.
Lets's calculate GCF of 1129,8817
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1129,8817 By Matching Biggest Common Factor Method
Now, list down the factors of 1129
:1,1129
Now, list down the factors of 8817
:1,3,2939,8817
Greatest Common Factor
We found the factors 1129,8817 . The biggest common factor number is the GCF number.
So the greatest common factor 1129,8817 is 1.
Lets's calculate LCM of 358,2685
| 179 | 358, 2685 |
| 2, 15 |
∴ So the LCM of the given numbers is 179 x 2 x 15 = 5370
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5370
Therefore, the GCF of Fractions 1129/358,8817/2685 is 1/5370
Least Common Multiple of 358,2685 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 358,2685 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(358,2685) = 179
common factors(in case of two or more numbers have common factors) = 1
GCF(358,2685) x common factors =179 x 1 = 179
LCM(358,2685) = ( 358 × 2685 ) / 179
LCM(358,2685) = 961230 / 179
LCM(358,2685) = 5370
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FAQs on GCF of Fractions of 1129/358, 8817/2685
1. What is the HCF of 1129,8817?
The HCF of 1129,8817 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 1129/358, 8817/2685?
Answer: GCF of Numerators as per given numbers 1129/358, 8817/2685 is
GCF of Numerators i.e. for 1129,8817 is 1
LCM of denominators i.e. for 358,2685 is 5370.
Thus, GCF of Fractions is 1/5370.Finally, GCF of Fractions for 1129/358, 8817/2685 is 1/5370.