GCF of 1256/390, 7263/7362
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1256/390, 7263/7362 i.e 1/478530 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1256/390, 7263/7362.
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 1256/390,7263/7362?
Given fractions are 1256/390,7263/7362
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 1256/390,7263/7362, numerators are 1256,7263
Denominators are 390,7362
The GCF of 1256,7263 is 1 .
LCM of 390,7362 is 478530.
The greatest common factor of 1256/390,7263/7362 = [GCF of 1256,7263]/[LCM of 390,7362]= 1/478530
Therefore, the GCF of 1256/390,7263/7362 is 1/478530.
To find the highest common factor of 1256,7263, 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 7263 are 1, 3, 9, 27, 269, 807, 2421, 7263
The HCF of 1256,7263 is 1.
Lets's calculate GCF of 1256,7263
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1256,7263 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 7263
:1,3,9,27,269,807,2421,7263
Greatest Common Factor
We found the factors 1256,7263 . The biggest common factor number is the GCF number.
So the greatest common factor 1256,7263 is 1.
Lets's calculate LCM of 390,7362
| 2 | 390, 7362 |
| 3 | 195, 3681 |
| 65, 1227 |
∴ So the LCM of the given numbers is 2 x 3 x 65 x 1227 = 478530
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/478530
Therefore, the GCF of Fractions 1256/390,7263/7362 is 1/478530
Least Common Multiple of 390,7362 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 390,7362 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(390,7362) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(390,7362) x common factors =6 x 1 = 6
LCM(390,7362) = ( 390 × 7362 ) / 6
LCM(390,7362) = 2871180 / 6
LCM(390,7362) = 478530
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FAQs on GCF of Fractions of 1256/390, 7263/7362
1. What is the HCF of 1256,7263?
The HCF of 1256,7263 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 1256/390, 7263/7362?
Answer: GCF of Numerators as per given numbers 1256/390, 7263/7362 is
GCF of Numerators i.e. for 1256,7263 is 1
LCM of denominators i.e. for 390,7362 is 478530.
Thus, GCF of Fractions is 1/478530.Finally, GCF of Fractions for 1256/390, 7263/7362 is 1/478530.