GCF of 392/155, 9517/870
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 392/155, 9517/870 i.e 1/26970 easily. The following is the detailed procedure to determine the greatest common factor of fractions 392/155, 9517/870.
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 392/155,9517/870?
Given fractions are 392/155,9517/870
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 392/155,9517/870, numerators are 392,9517
Denominators are 155,870
The GCF of 392,9517 is 1 .
LCM of 155,870 is 26970.
The greatest common factor of 392/155,9517/870 = [GCF of 392,9517]/[LCM of 155,870]= 1/26970
Therefore, the GCF of 392/155,9517/870 is 1/26970.
To find the highest common factor of 392,9517, we have to find the factors of both numbers and list the highest common factor.
The factors of 392 are 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
The factors of 9517 are 1, 31, 307, 9517
The HCF of 392,9517 is 1.
Lets's calculate GCF of 392,9517
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 392,9517 By Matching Biggest Common Factor Method
Now, list down the factors of 392
:1,2,4,7,8,14,28,49,56,98,196,392
Now, list down the factors of 9517
:1,31,307,9517
Greatest Common Factor
We found the factors 392,9517 . The biggest common factor number is the GCF number.
So the greatest common factor 392,9517 is 1.
Lets's calculate LCM of 155,870
| 5 | 155, 870 |
| 31, 174 |
∴ So the LCM of the given numbers is 5 x 31 x 174 = 26970
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26970
Therefore, the GCF of Fractions 392/155,9517/870 is 1/26970
Least Common Multiple of 155,870 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 155,870 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(155,870) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(155,870) x common factors =5 x 1 = 5
LCM(155,870) = ( 155 × 870 ) / 5
LCM(155,870) = 134850 / 5
LCM(155,870) = 26970
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FAQs on GCF of Fractions of 392/155, 9517/870
1. What is the HCF of 392,9517?
The HCF of 392,9517 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 392/155, 9517/870?
Answer: GCF of Numerators as per given numbers 392/155, 9517/870 is
GCF of Numerators i.e. for 392,9517 is 1
LCM of denominators i.e. for 155,870 is 26970.
Thus, GCF of Fractions is 1/26970.Finally, GCF of Fractions for 392/155, 9517/870 is 1/26970.