GCF of 9061/914, 6170/305
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9061/914, 6170/305 i.e 1/278770 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9061/914, 6170/305.
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 9061/914,6170/305?
Given fractions are 9061/914,6170/305
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 9061/914,6170/305, numerators are 9061,6170
Denominators are 914,305
The GCF of 9061,6170 is 1 .
LCM of 914,305 is 278770.
The greatest common factor of 9061/914,6170/305 = [GCF of 9061,6170]/[LCM of 914,305]= 1/278770
Therefore, the GCF of 9061/914,6170/305 is 1/278770.
To find the highest common factor of 9061,6170, we have to find the factors of both numbers and list the highest common factor.
The factors of 9061 are 1, 13, 17, 41, 221, 533, 697, 9061
The factors of 6170 are 1, 2, 5, 10, 617, 1234, 3085, 6170
The HCF of 9061,6170 is 1.
Lets's calculate GCF of 9061,6170
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9061,6170 By Matching Biggest Common Factor Method
Now, list down the factors of 9061
:1,13,17,41,221,533,697,9061
Now, list down the factors of 6170
:1,2,5,10,617,1234,3085,6170
Greatest Common Factor
We found the factors 9061,6170 . The biggest common factor number is the GCF number.
So the greatest common factor 9061,6170 is 1.
Lets's calculate LCM of 914,305
Given numbers has no common factors except 1. So, there LCM is their product i.e 278770
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/278770
Therefore, the GCF of Fractions 9061/914,6170/305 is 1/278770
Least Common Multiple of 914,305 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 914,305 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(914,305) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(914,305) x common factors =1 x 1 = 1
LCM(914,305) = ( 914 × 305 ) / 1
LCM(914,305) = 278770 / 1
LCM(914,305) = 278770
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FAQs on GCF of Fractions of 9061/914, 6170/305
1. What is the HCF of 9061,6170?
The HCF of 9061,6170 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 9061/914, 6170/305?
Answer: GCF of Numerators as per given numbers 9061/914, 6170/305 is
GCF of Numerators i.e. for 9061,6170 is 1
LCM of denominators i.e. for 914,305 is 278770.
Thus, GCF of Fractions is 1/278770.Finally, GCF of Fractions for 9061/914, 6170/305 is 1/278770.