GCF of 7949/508, 9771/477
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7949/508, 9771/477 i.e 1/242316 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7949/508, 9771/477.
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 7949/508,9771/477?
Given fractions are 7949/508,9771/477
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 7949/508,9771/477, numerators are 7949,9771
Denominators are 508,477
The GCF of 7949,9771 is 1 .
LCM of 508,477 is 242316.
The greatest common factor of 7949/508,9771/477 = [GCF of 7949,9771]/[LCM of 508,477]= 1/242316
Therefore, the GCF of 7949/508,9771/477 is 1/242316.
To find the highest common factor of 7949,9771, we have to find the factors of both numbers and list the highest common factor.
The factors of 7949 are 1, 7949
The factors of 9771 are 1, 3, 3257, 9771
The HCF of 7949,9771 is 1.
Lets's calculate GCF of 7949,9771
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7949,9771 By Matching Biggest Common Factor Method
Now, list down the factors of 7949
:1,7949
Now, list down the factors of 9771
:1,3,3257,9771
Greatest Common Factor
We found the factors 7949,9771 . The biggest common factor number is the GCF number.
So the greatest common factor 7949,9771 is 1.
Lets's calculate LCM of 508,477
Given numbers has no common factors except 1. So, there LCM is their product i.e 242316
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/242316
Therefore, the GCF of Fractions 7949/508,9771/477 is 1/242316
Least Common Multiple of 508,477 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 508,477 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(508,477) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(508,477) x common factors =1 x 1 = 1
LCM(508,477) = ( 508 × 477 ) / 1
LCM(508,477) = 242316 / 1
LCM(508,477) = 242316
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FAQs on GCF of Fractions of 7949/508, 9771/477
1. What is the HCF of 7949,9771?
The HCF of 7949,9771 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 7949/508, 9771/477?
Answer: GCF of Numerators as per given numbers 7949/508, 9771/477 is
GCF of Numerators i.e. for 7949,9771 is 1
LCM of denominators i.e. for 508,477 is 242316.
Thus, GCF of Fractions is 1/242316.Finally, GCF of Fractions for 7949/508, 9771/477 is 1/242316.