GCF of 1072/724, 5978/8589
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1072/724, 5978/8589 i.e 2/6218436 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1072/724, 5978/8589.
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 1072/724,5978/8589?
Given fractions are 1072/724,5978/8589
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 1072/724,5978/8589, numerators are 1072,5978
Denominators are 724,8589
The GCF of 1072,5978 is 2 .
LCM of 724,8589 is 6218436.
The greatest common factor of 1072/724,5978/8589 = [GCF of 1072,5978]/[LCM of 724,8589]= 2/6218436
Therefore, the GCF of 1072/724,5978/8589 is 2/6218436.
To find the highest common factor of 1072,5978, we have to find the factors of both numbers and list the highest common factor.
The factors of 1072 are 1, 2, 4, 8, 16, 67, 134, 268, 536, 1072
The factors of 5978 are 1, 2, 7, 14, 49, 61, 98, 122, 427, 854, 2989, 5978
The HCF of 1072,5978 is 2.
Lets's calculate GCF of 1072,5978
| 2 | 1072, 5978 |
| 536, 2989 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1072,5978 By Matching Biggest Common Factor Method
Now, list down the factors of 1072
:1,2,4,8,16,67,134,268,536,1072
Now, list down the factors of 5978
:1,2,7,14,49,61,98,122,427,854,2989,5978
Greatest Common Factor
We found the factors 1072,5978 . The biggest common factor number is the GCF number.
So the greatest common factor 1072,5978 is 2.
Lets's calculate LCM of 724,8589
Given numbers has no common factors except 1. So, there LCM is their product i.e 6218436
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6218436
Therefore, the GCF of Fractions 1072/724,5978/8589 is 2/6218436
Least Common Multiple of 724,8589 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 724,8589 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(724,8589) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(724,8589) x common factors =1 x 1 = 1
LCM(724,8589) = ( 724 × 8589 ) / 1
LCM(724,8589) = 6218436 / 1
LCM(724,8589) = 6218436
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FAQs on GCF of Fractions of 1072/724, 5978/8589
1. What is the HCF of 1072,5978?
The HCF of 1072,5978 is 2
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 1072/724, 5978/8589?
Answer: GCF of Numerators as per given numbers 1072/724, 5978/8589 is
GCF of Numerators i.e. for 1072,5978 is 2
LCM of denominators i.e. for 724,8589 is 6218436.
Thus, GCF of Fractions is 2/6218436.Finally, GCF of Fractions for 1072/724, 5978/8589 is 2/6218436.