GCF of 9160/598, 6879/7042
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9160/598, 6879/7042 i.e 1/2105558 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9160/598, 6879/7042.
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 9160/598,6879/7042?
Given fractions are 9160/598,6879/7042
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 9160/598,6879/7042, numerators are 9160,6879
Denominators are 598,7042
The GCF of 9160,6879 is 1 .
LCM of 598,7042 is 2105558.
The greatest common factor of 9160/598,6879/7042 = [GCF of 9160,6879]/[LCM of 598,7042]= 1/2105558
Therefore, the GCF of 9160/598,6879/7042 is 1/2105558.
To find the highest common factor of 9160,6879, we have to find the factors of both numbers and list the highest common factor.
The factors of 9160 are 1, 2, 4, 5, 8, 10, 20, 40, 229, 458, 916, 1145, 1832, 2290, 4580, 9160
The factors of 6879 are 1, 3, 2293, 6879
The HCF of 9160,6879 is 1.
Lets's calculate GCF of 9160,6879
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9160,6879 By Matching Biggest Common Factor Method
Now, list down the factors of 9160
:1,2,4,5,8,10,20,40,229,458,916,1145,1832,2290,4580,9160
Now, list down the factors of 6879
:1,3,2293,6879
Greatest Common Factor
We found the factors 9160,6879 . The biggest common factor number is the GCF number.
So the greatest common factor 9160,6879 is 1.
Lets's calculate LCM of 598,7042
| 2 | 598, 7042 |
| 299, 3521 |
∴ So the LCM of the given numbers is 2 x 299 x 3521 = 2105558
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2105558
Therefore, the GCF of Fractions 9160/598,6879/7042 is 1/2105558
Least Common Multiple of 598,7042 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 598,7042 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(598,7042) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(598,7042) x common factors =2 x 1 = 2
LCM(598,7042) = ( 598 × 7042 ) / 2
LCM(598,7042) = 4211116 / 2
LCM(598,7042) = 2105558
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FAQs on GCF of Fractions of 9160/598, 6879/7042
1. What is the HCF of 9160,6879?
The HCF of 9160,6879 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 9160/598, 6879/7042?
Answer: GCF of Numerators as per given numbers 9160/598, 6879/7042 is
GCF of Numerators i.e. for 9160,6879 is 1
LCM of denominators i.e. for 598,7042 is 2105558.
Thus, GCF of Fractions is 1/2105558.Finally, GCF of Fractions for 9160/598, 6879/7042 is 1/2105558.