GCF of 712/983, 573/760
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 712/983, 573/760 i.e 1/747080 easily. The following is the detailed procedure to determine the greatest common factor of fractions 712/983, 573/760.
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 712/983,573/760?
Given fractions are 712/983,573/760
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 712/983,573/760, numerators are 712,573
Denominators are 983,760
The GCF of 712,573 is 1 .
LCM of 983,760 is 747080.
The greatest common factor of 712/983,573/760 = [GCF of 712,573]/[LCM of 983,760]= 1/747080
Therefore, the GCF of 712/983,573/760 is 1/747080.
To find the highest common factor of 712,573, we have to find the factors of both numbers and list the highest common factor.
The factors of 712 are 1, 2, 4, 8, 89, 178, 356, 712
The factors of 573 are 1, 3, 191, 573
The HCF of 712,573 is 1.
Lets's calculate GCF of 712,573
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 712,573 By Matching Biggest Common Factor Method
Now, list down the factors of 712
:1,2,4,8,89,178,356,712
Now, list down the factors of 573
:1,3,191,573
Greatest Common Factor
We found the factors 712,573 . The biggest common factor number is the GCF number.
So the greatest common factor 712,573 is 1.
Lets's calculate LCM of 983,760
Given numbers has no common factors except 1. So, there LCM is their product i.e 747080
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/747080
Therefore, the GCF of Fractions 712/983,573/760 is 1/747080
Least Common Multiple of 983,760 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 983,760 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(983,760) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(983,760) x common factors =1 x 1 = 1
LCM(983,760) = ( 983 × 760 ) / 1
LCM(983,760) = 747080 / 1
LCM(983,760) = 747080
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FAQs on GCF of Fractions of 712/983, 573/760
1. What is the HCF of 712,573?
The HCF of 712,573 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 712/983, 573/760?
Answer: GCF of Numerators as per given numbers 712/983, 573/760 is
GCF of Numerators i.e. for 712,573 is 1
LCM of denominators i.e. for 983,760 is 747080.
Thus, GCF of Fractions is 1/747080.Finally, GCF of Fractions for 712/983, 573/760 is 1/747080.