GCF of 6977/293, 7539/9907
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6977/293, 7539/9907 i.e 1/2902751 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6977/293, 7539/9907.
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 6977/293,7539/9907?
Given fractions are 6977/293,7539/9907
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 6977/293,7539/9907, numerators are 6977,7539
Denominators are 293,9907
The GCF of 6977,7539 is 1 .
LCM of 293,9907 is 2902751.
The greatest common factor of 6977/293,7539/9907 = [GCF of 6977,7539]/[LCM of 293,9907]= 1/2902751
Therefore, the GCF of 6977/293,7539/9907 is 1/2902751.
To find the highest common factor of 6977,7539, we have to find the factors of both numbers and list the highest common factor.
The factors of 6977 are 1, 6977
The factors of 7539 are 1, 3, 7, 21, 359, 1077, 2513, 7539
The HCF of 6977,7539 is 1.
Lets's calculate GCF of 6977,7539
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6977,7539 By Matching Biggest Common Factor Method
Now, list down the factors of 6977
:1,6977
Now, list down the factors of 7539
:1,3,7,21,359,1077,2513,7539
Greatest Common Factor
We found the factors 6977,7539 . The biggest common factor number is the GCF number.
So the greatest common factor 6977,7539 is 1.
Lets's calculate LCM of 293,9907
Given numbers has no common factors except 1. So, there LCM is their product i.e 2902751
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2902751
Therefore, the GCF of Fractions 6977/293,7539/9907 is 1/2902751
Least Common Multiple of 293,9907 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 293,9907 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(293,9907) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(293,9907) x common factors =1 x 1 = 1
LCM(293,9907) = ( 293 × 9907 ) / 1
LCM(293,9907) = 2902751 / 1
LCM(293,9907) = 2902751
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FAQs on GCF of Fractions of 6977/293, 7539/9907
1. What is the HCF of 6977,7539?
The HCF of 6977,7539 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 6977/293, 7539/9907?
Answer: GCF of Numerators as per given numbers 6977/293, 7539/9907 is
GCF of Numerators i.e. for 6977,7539 is 1
LCM of denominators i.e. for 293,9907 is 2902751.
Thus, GCF of Fractions is 1/2902751.Finally, GCF of Fractions for 6977/293, 7539/9907 is 1/2902751.