GCF of 971/53, 725/580
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 971/53, 725/580 i.e 1/30740 easily. The following is the detailed procedure to determine the greatest common factor of fractions 971/53, 725/580.
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 971/53,725/580?
Given fractions are 971/53,725/580
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 971/53,725/580, numerators are 971,725
Denominators are 53,580
The GCF of 971,725 is 1 .
LCM of 53,580 is 30740.
The greatest common factor of 971/53,725/580 = [GCF of 971,725]/[LCM of 53,580]= 1/30740
Therefore, the GCF of 971/53,725/580 is 1/30740.
To find the highest common factor of 971,725, we have to find the factors of both numbers and list the highest common factor.
The factors of 971 are 1, 971
The factors of 725 are 1, 5, 25, 29, 145, 725
The HCF of 971,725 is 1.
Lets's calculate GCF of 971,725
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 971,725 By Matching Biggest Common Factor Method
Now, list down the factors of 971
:1,971
Now, list down the factors of 725
:1,5,25,29,145,725
Greatest Common Factor
We found the factors 971,725 . The biggest common factor number is the GCF number.
So the greatest common factor 971,725 is 1.
Lets's calculate LCM of 53,580
Given numbers has no common factors except 1. So, there LCM is their product i.e 30740
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30740
Therefore, the GCF of Fractions 971/53,725/580 is 1/30740
Least Common Multiple of 53,580 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 53,580 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,580) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(53,580) x common factors =1 x 1 = 1
LCM(53,580) = ( 53 × 580 ) / 1
LCM(53,580) = 30740 / 1
LCM(53,580) = 30740
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FAQs on GCF of Fractions of 971/53, 725/580
1. What is the HCF of 971,725?
The HCF of 971,725 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 971/53, 725/580?
Answer: GCF of Numerators as per given numbers 971/53, 725/580 is
GCF of Numerators i.e. for 971,725 is 1
LCM of denominators i.e. for 53,580 is 30740.
Thus, GCF of Fractions is 1/30740.Finally, GCF of Fractions for 971/53, 725/580 is 1/30740.