GCF of 1295/958, 3412/1056
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1295/958, 3412/1056 i.e 1/505824 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1295/958, 3412/1056.
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 1295/958,3412/1056?
Given fractions are 1295/958,3412/1056
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 1295/958,3412/1056, numerators are 1295,3412
Denominators are 958,1056
The GCF of 1295,3412 is 1 .
LCM of 958,1056 is 505824.
The greatest common factor of 1295/958,3412/1056 = [GCF of 1295,3412]/[LCM of 958,1056]= 1/505824
Therefore, the GCF of 1295/958,3412/1056 is 1/505824.
To find the highest common factor of 1295,3412, we have to find the factors of both numbers and list the highest common factor.
The factors of 1295 are 1, 5, 7, 35, 37, 185, 259, 1295
The factors of 3412 are 1, 2, 4, 853, 1706, 3412
The HCF of 1295,3412 is 1.
Lets's calculate GCF of 1295,3412
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1295,3412 By Matching Biggest Common Factor Method
Now, list down the factors of 1295
:1,5,7,35,37,185,259,1295
Now, list down the factors of 3412
:1,2,4,853,1706,3412
Greatest Common Factor
We found the factors 1295,3412 . The biggest common factor number is the GCF number.
So the greatest common factor 1295,3412 is 1.
Lets's calculate LCM of 958,1056
| 2 | 958, 1056 |
| 479, 528 |
∴ So the LCM of the given numbers is 2 x 479 x 528 = 505824
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/505824
Therefore, the GCF of Fractions 1295/958,3412/1056 is 1/505824
Least Common Multiple of 958,1056 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 958,1056 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(958,1056) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(958,1056) x common factors =2 x 1 = 2
LCM(958,1056) = ( 958 × 1056 ) / 2
LCM(958,1056) = 1011648 / 2
LCM(958,1056) = 505824
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FAQs on GCF of Fractions of 1295/958, 3412/1056
1. What is the HCF of 1295,3412?
The HCF of 1295,3412 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 1295/958, 3412/1056?
Answer: GCF of Numerators as per given numbers 1295/958, 3412/1056 is
GCF of Numerators i.e. for 1295,3412 is 1
LCM of denominators i.e. for 958,1056 is 505824.
Thus, GCF of Fractions is 1/505824.Finally, GCF of Fractions for 1295/958, 3412/1056 is 1/505824.