GCF of 8560/156, 1946/5876
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8560/156, 1946/5876 i.e 2/17628 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8560/156, 1946/5876.
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 8560/156,1946/5876?
Given fractions are 8560/156,1946/5876
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 8560/156,1946/5876, numerators are 8560,1946
Denominators are 156,5876
The GCF of 8560,1946 is 2 .
LCM of 156,5876 is 17628.
The greatest common factor of 8560/156,1946/5876 = [GCF of 8560,1946]/[LCM of 156,5876]= 2/17628
Therefore, the GCF of 8560/156,1946/5876 is 2/17628.
To find the highest common factor of 8560,1946, we have to find the factors of both numbers and list the highest common factor.
The factors of 8560 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 107, 214, 428, 535, 856, 1070, 1712, 2140, 4280, 8560
The factors of 1946 are 1, 2, 7, 14, 139, 278, 973, 1946
The HCF of 8560,1946 is 2.
Lets's calculate GCF of 8560,1946
| 2 | 8560, 1946 |
| 4280, 973 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8560,1946 By Matching Biggest Common Factor Method
Now, list down the factors of 8560
:1,2,4,5,8,10,16,20,40,80,107,214,428,535,856,1070,1712,2140,4280,8560
Now, list down the factors of 1946
:1,2,7,14,139,278,973,1946
Greatest Common Factor
We found the factors 8560,1946 . The biggest common factor number is the GCF number.
So the greatest common factor 8560,1946 is 2.
Lets's calculate LCM of 156,5876
| 2 | 156, 5876 |
| 2 | 78, 2938 |
| 13 | 39, 1469 |
| 3, 113 |
∴ So the LCM of the given numbers is 2 x 2 x 13 x 3 x 113 = 17628
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/17628
Therefore, the GCF of Fractions 8560/156,1946/5876 is 2/17628
Least Common Multiple of 156,5876 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 156,5876 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(156,5876) = 52
common factors(in case of two or more numbers have common factors) = 1
GCF(156,5876) x common factors =52 x 1 = 52
LCM(156,5876) = ( 156 × 5876 ) / 52
LCM(156,5876) = 916656 / 52
LCM(156,5876) = 17628
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FAQs on GCF of Fractions of 8560/156, 1946/5876
1. What is the HCF of 8560,1946?
The HCF of 8560,1946 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 8560/156, 1946/5876?
Answer: GCF of Numerators as per given numbers 8560/156, 1946/5876 is
GCF of Numerators i.e. for 8560,1946 is 2
LCM of denominators i.e. for 156,5876 is 17628.
Thus, GCF of Fractions is 2/17628.Finally, GCF of Fractions for 8560/156, 1946/5876 is 2/17628.