GCF of 9301/889, 6512/656
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9301/889, 6512/656 i.e 1/583184 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9301/889, 6512/656.
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 9301/889,6512/656?
Given fractions are 9301/889,6512/656
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 9301/889,6512/656, numerators are 9301,6512
Denominators are 889,656
The GCF of 9301,6512 is 1 .
LCM of 889,656 is 583184.
The greatest common factor of 9301/889,6512/656 = [GCF of 9301,6512]/[LCM of 889,656]= 1/583184
Therefore, the GCF of 9301/889,6512/656 is 1/583184.
To find the highest common factor of 9301,6512, we have to find the factors of both numbers and list the highest common factor.
The factors of 9301 are 1, 71, 131, 9301
The factors of 6512 are 1, 2, 4, 8, 11, 16, 22, 37, 44, 74, 88, 148, 176, 296, 407, 592, 814, 1628, 3256, 6512
The HCF of 9301,6512 is 1.
Lets's calculate GCF of 9301,6512
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9301,6512 By Matching Biggest Common Factor Method
Now, list down the factors of 9301
:1,71,131,9301
Now, list down the factors of 6512
:1,2,4,8,11,16,22,37,44,74,88,148,176,296,407,592,814,1628,3256,6512
Greatest Common Factor
We found the factors 9301,6512 . The biggest common factor number is the GCF number.
So the greatest common factor 9301,6512 is 1.
Lets's calculate LCM of 889,656
Given numbers has no common factors except 1. So, there LCM is their product i.e 583184
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/583184
Therefore, the GCF of Fractions 9301/889,6512/656 is 1/583184
Least Common Multiple of 889,656 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 889,656 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(889,656) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(889,656) x common factors =1 x 1 = 1
LCM(889,656) = ( 889 × 656 ) / 1
LCM(889,656) = 583184 / 1
LCM(889,656) = 583184
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FAQs on GCF of Fractions of 9301/889, 6512/656
1. What is the HCF of 9301,6512?
The HCF of 9301,6512 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 9301/889, 6512/656?
Answer: GCF of Numerators as per given numbers 9301/889, 6512/656 is
GCF of Numerators i.e. for 9301,6512 is 1
LCM of denominators i.e. for 889,656 is 583184.
Thus, GCF of Fractions is 1/583184.Finally, GCF of Fractions for 9301/889, 6512/656 is 1/583184.