GCF of 1256/722, 1085/5309
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1256/722, 1085/5309 i.e 1/3833098 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1256/722, 1085/5309.
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 1256/722,1085/5309?
Given fractions are 1256/722,1085/5309
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 1256/722,1085/5309, numerators are 1256,1085
Denominators are 722,5309
The GCF of 1256,1085 is 1 .
LCM of 722,5309 is 3833098.
The greatest common factor of 1256/722,1085/5309 = [GCF of 1256,1085]/[LCM of 722,5309]= 1/3833098
Therefore, the GCF of 1256/722,1085/5309 is 1/3833098.
To find the highest common factor of 1256,1085, we have to find the factors of both numbers and list the highest common factor.
The factors of 1256 are 1, 2, 4, 8, 157, 314, 628, 1256
The factors of 1085 are 1, 5, 7, 31, 35, 155, 217, 1085
The HCF of 1256,1085 is 1.
Lets's calculate GCF of 1256,1085
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1256,1085 By Matching Biggest Common Factor Method
Now, list down the factors of 1256
:1,2,4,8,157,314,628,1256
Now, list down the factors of 1085
:1,5,7,31,35,155,217,1085
Greatest Common Factor
We found the factors 1256,1085 . The biggest common factor number is the GCF number.
So the greatest common factor 1256,1085 is 1.
Lets's calculate LCM of 722,5309
Given numbers has no common factors except 1. So, there LCM is their product i.e 3833098
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3833098
Therefore, the GCF of Fractions 1256/722,1085/5309 is 1/3833098
Least Common Multiple of 722,5309 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 722,5309 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(722,5309) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(722,5309) x common factors =1 x 1 = 1
LCM(722,5309) = ( 722 × 5309 ) / 1
LCM(722,5309) = 3833098 / 1
LCM(722,5309) = 3833098
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1256/722, 1085/5309
1. What is the HCF of 1256,1085?
The HCF of 1256,1085 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 1256/722, 1085/5309?
Answer: GCF of Numerators as per given numbers 1256/722, 1085/5309 is
GCF of Numerators i.e. for 1256,1085 is 1
LCM of denominators i.e. for 722,5309 is 3833098.
Thus, GCF of Fractions is 1/3833098.Finally, GCF of Fractions for 1256/722, 1085/5309 is 1/3833098.