GCF of 1067/759, 3526/1249
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1067/759, 3526/1249 i.e 1/947991 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1067/759, 3526/1249.
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 1067/759,3526/1249?
Given fractions are 1067/759,3526/1249
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 1067/759,3526/1249, numerators are 1067,3526
Denominators are 759,1249
The GCF of 1067,3526 is 1 .
LCM of 759,1249 is 947991.
The greatest common factor of 1067/759,3526/1249 = [GCF of 1067,3526]/[LCM of 759,1249]= 1/947991
Therefore, the GCF of 1067/759,3526/1249 is 1/947991.
To find the highest common factor of 1067,3526, we have to find the factors of both numbers and list the highest common factor.
The factors of 1067 are 1, 11, 97, 1067
The factors of 3526 are 1, 2, 41, 43, 82, 86, 1763, 3526
The HCF of 1067,3526 is 1.
Lets's calculate GCF of 1067,3526
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1067,3526 By Matching Biggest Common Factor Method
Now, list down the factors of 1067
:1,11,97,1067
Now, list down the factors of 3526
:1,2,41,43,82,86,1763,3526
Greatest Common Factor
We found the factors 1067,3526 . The biggest common factor number is the GCF number.
So the greatest common factor 1067,3526 is 1.
Lets's calculate LCM of 759,1249
Given numbers has no common factors except 1. So, there LCM is their product i.e 947991
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/947991
Therefore, the GCF of Fractions 1067/759,3526/1249 is 1/947991
Least Common Multiple of 759,1249 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 759,1249 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(759,1249) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(759,1249) x common factors =1 x 1 = 1
LCM(759,1249) = ( 759 × 1249 ) / 1
LCM(759,1249) = 947991 / 1
LCM(759,1249) = 947991
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FAQs on GCF of Fractions of 1067/759, 3526/1249
1. What is the HCF of 1067,3526?
The HCF of 1067,3526 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 1067/759, 3526/1249?
Answer: GCF of Numerators as per given numbers 1067/759, 3526/1249 is
GCF of Numerators i.e. for 1067,3526 is 1
LCM of denominators i.e. for 759,1249 is 947991.
Thus, GCF of Fractions is 1/947991.Finally, GCF of Fractions for 1067/759, 3526/1249 is 1/947991.