GCF of 6934/740, 9367/7702
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6934/740, 9367/7702 i.e 1/2849740 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6934/740, 9367/7702.
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 6934/740,9367/7702?
Given fractions are 6934/740,9367/7702
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 6934/740,9367/7702, numerators are 6934,9367
Denominators are 740,7702
The GCF of 6934,9367 is 1 .
LCM of 740,7702 is 2849740.
The greatest common factor of 6934/740,9367/7702 = [GCF of 6934,9367]/[LCM of 740,7702]= 1/2849740
Therefore, the GCF of 6934/740,9367/7702 is 1/2849740.
To find the highest common factor of 6934,9367, we have to find the factors of both numbers and list the highest common factor.
The factors of 6934 are 1, 2, 3467, 6934
The factors of 9367 are 1, 17, 19, 29, 323, 493, 551, 9367
The HCF of 6934,9367 is 1.
Lets's calculate GCF of 6934,9367
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6934,9367 By Matching Biggest Common Factor Method
Now, list down the factors of 6934
:1,2,3467,6934
Now, list down the factors of 9367
:1,17,19,29,323,493,551,9367
Greatest Common Factor
We found the factors 6934,9367 . The biggest common factor number is the GCF number.
So the greatest common factor 6934,9367 is 1.
Lets's calculate LCM of 740,7702
| 2 | 740, 7702 |
| 370, 3851 |
∴ So the LCM of the given numbers is 2 x 370 x 3851 = 2849740
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2849740
Therefore, the GCF of Fractions 6934/740,9367/7702 is 1/2849740
Least Common Multiple of 740,7702 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 740,7702 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(740,7702) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(740,7702) x common factors =2 x 1 = 2
LCM(740,7702) = ( 740 × 7702 ) / 2
LCM(740,7702) = 5699480 / 2
LCM(740,7702) = 2849740
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FAQs on GCF of Fractions of 6934/740, 9367/7702
1. What is the HCF of 6934,9367?
The HCF of 6934,9367 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 6934/740, 9367/7702?
Answer: GCF of Numerators as per given numbers 6934/740, 9367/7702 is
GCF of Numerators i.e. for 6934,9367 is 1
LCM of denominators i.e. for 740,7702 is 2849740.
Thus, GCF of Fractions is 1/2849740.Finally, GCF of Fractions for 6934/740, 9367/7702 is 1/2849740.