GCF of 9755/279, 5073/331
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9755/279, 5073/331 i.e 1/92349 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9755/279, 5073/331.
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 9755/279,5073/331?
Given fractions are 9755/279,5073/331
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 9755/279,5073/331, numerators are 9755,5073
Denominators are 279,331
The GCF of 9755,5073 is 1 .
LCM of 279,331 is 92349.
The greatest common factor of 9755/279,5073/331 = [GCF of 9755,5073]/[LCM of 279,331]= 1/92349
Therefore, the GCF of 9755/279,5073/331 is 1/92349.
To find the highest common factor of 9755,5073, we have to find the factors of both numbers and list the highest common factor.
The factors of 9755 are 1, 5, 1951, 9755
The factors of 5073 are 1, 3, 19, 57, 89, 267, 1691, 5073
The HCF of 9755,5073 is 1.
Lets's calculate GCF of 9755,5073
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9755,5073 By Matching Biggest Common Factor Method
Now, list down the factors of 9755
:1,5,1951,9755
Now, list down the factors of 5073
:1,3,19,57,89,267,1691,5073
Greatest Common Factor
We found the factors 9755,5073 . The biggest common factor number is the GCF number.
So the greatest common factor 9755,5073 is 1.
Lets's calculate LCM of 279,331
Given numbers has no common factors except 1. So, there LCM is their product i.e 92349
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/92349
Therefore, the GCF of Fractions 9755/279,5073/331 is 1/92349
Least Common Multiple of 279,331 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 279,331 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(279,331) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(279,331) x common factors =1 x 1 = 1
LCM(279,331) = ( 279 × 331 ) / 1
LCM(279,331) = 92349 / 1
LCM(279,331) = 92349
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FAQs on GCF of Fractions of 9755/279, 5073/331
1. What is the HCF of 9755,5073?
The HCF of 9755,5073 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 9755/279, 5073/331?
Answer: GCF of Numerators as per given numbers 9755/279, 5073/331 is
GCF of Numerators i.e. for 9755,5073 is 1
LCM of denominators i.e. for 279,331 is 92349.
Thus, GCF of Fractions is 1/92349.Finally, GCF of Fractions for 9755/279, 5073/331 is 1/92349.