GCF of 5317/676, 8078/3554
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5317/676, 8078/3554 i.e 1/1201252 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5317/676, 8078/3554.
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 5317/676,8078/3554?
Given fractions are 5317/676,8078/3554
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 5317/676,8078/3554, numerators are 5317,8078
Denominators are 676,3554
The GCF of 5317,8078 is 1 .
LCM of 676,3554 is 1201252.
The greatest common factor of 5317/676,8078/3554 = [GCF of 5317,8078]/[LCM of 676,3554]= 1/1201252
Therefore, the GCF of 5317/676,8078/3554 is 1/1201252.
To find the highest common factor of 5317,8078, we have to find the factors of both numbers and list the highest common factor.
The factors of 5317 are 1, 13, 409, 5317
The factors of 8078 are 1, 2, 7, 14, 577, 1154, 4039, 8078
The HCF of 5317,8078 is 1.
Lets's calculate GCF of 5317,8078
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5317,8078 By Matching Biggest Common Factor Method
Now, list down the factors of 5317
:1,13,409,5317
Now, list down the factors of 8078
:1,2,7,14,577,1154,4039,8078
Greatest Common Factor
We found the factors 5317,8078 . The biggest common factor number is the GCF number.
So the greatest common factor 5317,8078 is 1.
Lets's calculate LCM of 676,3554
| 2 | 676, 3554 |
| 338, 1777 |
∴ So the LCM of the given numbers is 2 x 338 x 1777 = 1201252
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1201252
Therefore, the GCF of Fractions 5317/676,8078/3554 is 1/1201252
Least Common Multiple of 676,3554 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 676,3554 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(676,3554) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(676,3554) x common factors =2 x 1 = 2
LCM(676,3554) = ( 676 × 3554 ) / 2
LCM(676,3554) = 2402504 / 2
LCM(676,3554) = 1201252
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FAQs on GCF of Fractions of 5317/676, 8078/3554
1. What is the HCF of 5317,8078?
The HCF of 5317,8078 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 5317/676, 8078/3554?
Answer: GCF of Numerators as per given numbers 5317/676, 8078/3554 is
GCF of Numerators i.e. for 5317,8078 is 1
LCM of denominators i.e. for 676,3554 is 1201252.
Thus, GCF of Fractions is 1/1201252.Finally, GCF of Fractions for 5317/676, 8078/3554 is 1/1201252.