GCF of 6921/497, 7387/634
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6921/497, 7387/634 i.e 1/315098 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6921/497, 7387/634.
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 6921/497,7387/634?
Given fractions are 6921/497,7387/634
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 6921/497,7387/634, numerators are 6921,7387
Denominators are 497,634
The GCF of 6921,7387 is 1 .
LCM of 497,634 is 315098.
The greatest common factor of 6921/497,7387/634 = [GCF of 6921,7387]/[LCM of 497,634]= 1/315098
Therefore, the GCF of 6921/497,7387/634 is 1/315098.
To find the highest common factor of 6921,7387, we have to find the factors of both numbers and list the highest common factor.
The factors of 6921 are 1, 3, 9, 769, 2307, 6921
The factors of 7387 are 1, 83, 89, 7387
The HCF of 6921,7387 is 1.
Lets's calculate GCF of 6921,7387
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6921,7387 By Matching Biggest Common Factor Method
Now, list down the factors of 6921
:1,3,9,769,2307,6921
Now, list down the factors of 7387
:1,83,89,7387
Greatest Common Factor
We found the factors 6921,7387 . The biggest common factor number is the GCF number.
So the greatest common factor 6921,7387 is 1.
Lets's calculate LCM of 497,634
Given numbers has no common factors except 1. So, there LCM is their product i.e 315098
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/315098
Therefore, the GCF of Fractions 6921/497,7387/634 is 1/315098
Least Common Multiple of 497,634 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 497,634 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(497,634) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(497,634) x common factors =1 x 1 = 1
LCM(497,634) = ( 497 × 634 ) / 1
LCM(497,634) = 315098 / 1
LCM(497,634) = 315098
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FAQs on GCF of Fractions of 6921/497, 7387/634
1. What is the HCF of 6921,7387?
The HCF of 6921,7387 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 6921/497, 7387/634?
Answer: GCF of Numerators as per given numbers 6921/497, 7387/634 is
GCF of Numerators i.e. for 6921,7387 is 1
LCM of denominators i.e. for 497,634 is 315098.
Thus, GCF of Fractions is 1/315098.Finally, GCF of Fractions for 6921/497, 7387/634 is 1/315098.