GCF of 6942/119, 9775/7765
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6942/119, 9775/7765 i.e 1/924035 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6942/119, 9775/7765.
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 6942/119,9775/7765?
Given fractions are 6942/119,9775/7765
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 6942/119,9775/7765, numerators are 6942,9775
Denominators are 119,7765
The GCF of 6942,9775 is 1 .
LCM of 119,7765 is 924035.
The greatest common factor of 6942/119,9775/7765 = [GCF of 6942,9775]/[LCM of 119,7765]= 1/924035
Therefore, the GCF of 6942/119,9775/7765 is 1/924035.
To find the highest common factor of 6942,9775, we have to find the factors of both numbers and list the highest common factor.
The factors of 6942 are 1, 2, 3, 6, 13, 26, 39, 78, 89, 178, 267, 534, 1157, 2314, 3471, 6942
The factors of 9775 are 1, 5, 17, 23, 25, 85, 115, 391, 425, 575, 1955, 9775
The HCF of 6942,9775 is 1.
Lets's calculate GCF of 6942,9775
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6942,9775 By Matching Biggest Common Factor Method
Now, list down the factors of 6942
:1,2,3,6,13,26,39,78,89,178,267,534,1157,2314,3471,6942
Now, list down the factors of 9775
:1,5,17,23,25,85,115,391,425,575,1955,9775
Greatest Common Factor
We found the factors 6942,9775 . The biggest common factor number is the GCF number.
So the greatest common factor 6942,9775 is 1.
Lets's calculate LCM of 119,7765
Given numbers has no common factors except 1. So, there LCM is their product i.e 924035
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/924035
Therefore, the GCF of Fractions 6942/119,9775/7765 is 1/924035
Least Common Multiple of 119,7765 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 119,7765 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(119,7765) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(119,7765) x common factors =1 x 1 = 1
LCM(119,7765) = ( 119 × 7765 ) / 1
LCM(119,7765) = 924035 / 1
LCM(119,7765) = 924035
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FAQs on GCF of Fractions of 6942/119, 9775/7765
1. What is the HCF of 6942,9775?
The HCF of 6942,9775 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 6942/119, 9775/7765?
Answer: GCF of Numerators as per given numbers 6942/119, 9775/7765 is
GCF of Numerators i.e. for 6942,9775 is 1
LCM of denominators i.e. for 119,7765 is 924035.
Thus, GCF of Fractions is 1/924035.Finally, GCF of Fractions for 6942/119, 9775/7765 is 1/924035.