GCF of 6920/309, 9877/7664
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6920/309, 9877/7664 i.e 1/2368176 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6920/309, 9877/7664.
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 6920/309,9877/7664?
Given fractions are 6920/309,9877/7664
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 6920/309,9877/7664, numerators are 6920,9877
Denominators are 309,7664
The GCF of 6920,9877 is 1 .
LCM of 309,7664 is 2368176.
The greatest common factor of 6920/309,9877/7664 = [GCF of 6920,9877]/[LCM of 309,7664]= 1/2368176
Therefore, the GCF of 6920/309,9877/7664 is 1/2368176.
To find the highest common factor of 6920,9877, we have to find the factors of both numbers and list the highest common factor.
The factors of 6920 are 1, 2, 4, 5, 8, 10, 20, 40, 173, 346, 692, 865, 1384, 1730, 3460, 6920
The factors of 9877 are 1, 7, 17, 83, 119, 581, 1411, 9877
The HCF of 6920,9877 is 1.
Lets's calculate GCF of 6920,9877
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6920,9877 By Matching Biggest Common Factor Method
Now, list down the factors of 6920
:1,2,4,5,8,10,20,40,173,346,692,865,1384,1730,3460,6920
Now, list down the factors of 9877
:1,7,17,83,119,581,1411,9877
Greatest Common Factor
We found the factors 6920,9877 . The biggest common factor number is the GCF number.
So the greatest common factor 6920,9877 is 1.
Lets's calculate LCM of 309,7664
Given numbers has no common factors except 1. So, there LCM is their product i.e 2368176
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2368176
Therefore, the GCF of Fractions 6920/309,9877/7664 is 1/2368176
Least Common Multiple of 309,7664 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 309,7664 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(309,7664) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(309,7664) x common factors =1 x 1 = 1
LCM(309,7664) = ( 309 × 7664 ) / 1
LCM(309,7664) = 2368176 / 1
LCM(309,7664) = 2368176
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FAQs on GCF of Fractions of 6920/309, 9877/7664
1. What is the HCF of 6920,9877?
The HCF of 6920,9877 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 6920/309, 9877/7664?
Answer: GCF of Numerators as per given numbers 6920/309, 9877/7664 is
GCF of Numerators i.e. for 6920,9877 is 1
LCM of denominators i.e. for 309,7664 is 2368176.
Thus, GCF of Fractions is 1/2368176.Finally, GCF of Fractions for 6920/309, 9877/7664 is 1/2368176.