GCF of 7732/860, 5601/577
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7732/860, 5601/577 i.e 1/496220 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7732/860, 5601/577.
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 7732/860,5601/577?
Given fractions are 7732/860,5601/577
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 7732/860,5601/577, numerators are 7732,5601
Denominators are 860,577
The GCF of 7732,5601 is 1 .
LCM of 860,577 is 496220.
The greatest common factor of 7732/860,5601/577 = [GCF of 7732,5601]/[LCM of 860,577]= 1/496220
Therefore, the GCF of 7732/860,5601/577 is 1/496220.
To find the highest common factor of 7732,5601, we have to find the factors of both numbers and list the highest common factor.
The factors of 7732 are 1, 2, 4, 1933, 3866, 7732
The factors of 5601 are 1, 3, 1867, 5601
The HCF of 7732,5601 is 1.
Lets's calculate GCF of 7732,5601
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7732,5601 By Matching Biggest Common Factor Method
Now, list down the factors of 7732
:1,2,4,1933,3866,7732
Now, list down the factors of 5601
:1,3,1867,5601
Greatest Common Factor
We found the factors 7732,5601 . The biggest common factor number is the GCF number.
So the greatest common factor 7732,5601 is 1.
Lets's calculate LCM of 860,577
Given numbers has no common factors except 1. So, there LCM is their product i.e 496220
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/496220
Therefore, the GCF of Fractions 7732/860,5601/577 is 1/496220
Least Common Multiple of 860,577 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 860,577 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(860,577) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(860,577) x common factors =1 x 1 = 1
LCM(860,577) = ( 860 × 577 ) / 1
LCM(860,577) = 496220 / 1
LCM(860,577) = 496220
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FAQs on GCF of Fractions of 7732/860, 5601/577
1. What is the HCF of 7732,5601?
The HCF of 7732,5601 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 7732/860, 5601/577?
Answer: GCF of Numerators as per given numbers 7732/860, 5601/577 is
GCF of Numerators i.e. for 7732,5601 is 1
LCM of denominators i.e. for 860,577 is 496220.
Thus, GCF of Fractions is 1/496220.Finally, GCF of Fractions for 7732/860, 5601/577 is 1/496220.