GCF of 5251/907, 9723/117
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5251/907, 9723/117 i.e 1/106119 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5251/907, 9723/117.
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 5251/907,9723/117?
Given fractions are 5251/907,9723/117
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 5251/907,9723/117, numerators are 5251,9723
Denominators are 907,117
The GCF of 5251,9723 is 1 .
LCM of 907,117 is 106119.
The greatest common factor of 5251/907,9723/117 = [GCF of 5251,9723]/[LCM of 907,117]= 1/106119
Therefore, the GCF of 5251/907,9723/117 is 1/106119.
To find the highest common factor of 5251,9723, we have to find the factors of both numbers and list the highest common factor.
The factors of 5251 are 1, 59, 89, 5251
The factors of 9723 are 1, 3, 7, 21, 463, 1389, 3241, 9723
The HCF of 5251,9723 is 1.
Lets's calculate GCF of 5251,9723
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5251,9723 By Matching Biggest Common Factor Method
Now, list down the factors of 5251
:1,59,89,5251
Now, list down the factors of 9723
:1,3,7,21,463,1389,3241,9723
Greatest Common Factor
We found the factors 5251,9723 . The biggest common factor number is the GCF number.
So the greatest common factor 5251,9723 is 1.
Lets's calculate LCM of 907,117
Given numbers has no common factors except 1. So, there LCM is their product i.e 106119
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/106119
Therefore, the GCF of Fractions 5251/907,9723/117 is 1/106119
Least Common Multiple of 907,117 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 907,117 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(907,117) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(907,117) x common factors =1 x 1 = 1
LCM(907,117) = ( 907 × 117 ) / 1
LCM(907,117) = 106119 / 1
LCM(907,117) = 106119
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FAQs on GCF of Fractions of 5251/907, 9723/117
1. What is the HCF of 5251,9723?
The HCF of 5251,9723 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 5251/907, 9723/117?
Answer: GCF of Numerators as per given numbers 5251/907, 9723/117 is
GCF of Numerators i.e. for 5251,9723 is 1
LCM of denominators i.e. for 907,117 is 106119.
Thus, GCF of Fractions is 1/106119.Finally, GCF of Fractions for 5251/907, 9723/117 is 1/106119.