GCF of 8455/772, 1256/672
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8455/772, 1256/672 i.e 1/129696 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8455/772, 1256/672.
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 8455/772,1256/672?
Given fractions are 8455/772,1256/672
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 8455/772,1256/672, numerators are 8455,1256
Denominators are 772,672
The GCF of 8455,1256 is 1 .
LCM of 772,672 is 129696.
The greatest common factor of 8455/772,1256/672 = [GCF of 8455,1256]/[LCM of 772,672]= 1/129696
Therefore, the GCF of 8455/772,1256/672 is 1/129696.
To find the highest common factor of 8455,1256, we have to find the factors of both numbers and list the highest common factor.
The factors of 8455 are 1, 5, 19, 89, 95, 445, 1691, 8455
The factors of 1256 are 1, 2, 4, 8, 157, 314, 628, 1256
The HCF of 8455,1256 is 1.
Lets's calculate GCF of 8455,1256
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8455,1256 By Matching Biggest Common Factor Method
Now, list down the factors of 8455
:1,5,19,89,95,445,1691,8455
Now, list down the factors of 1256
:1,2,4,8,157,314,628,1256
Greatest Common Factor
We found the factors 8455,1256 . The biggest common factor number is the GCF number.
So the greatest common factor 8455,1256 is 1.
Lets's calculate LCM of 772,672
| 2 | 772, 672 |
| 2 | 386, 336 |
| 193, 168 |
∴ So the LCM of the given numbers is 2 x 2 x 193 x 168 = 129696
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/129696
Therefore, the GCF of Fractions 8455/772,1256/672 is 1/129696
Least Common Multiple of 772,672 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 772,672 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(772,672) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(772,672) x common factors =4 x 1 = 4
LCM(772,672) = ( 772 × 672 ) / 4
LCM(772,672) = 518784 / 4
LCM(772,672) = 129696
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FAQs on GCF of Fractions of 8455/772, 1256/672
1. What is the HCF of 8455,1256?
The HCF of 8455,1256 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 8455/772, 1256/672?
Answer: GCF of Numerators as per given numbers 8455/772, 1256/672 is
GCF of Numerators i.e. for 8455,1256 is 1
LCM of denominators i.e. for 772,672 is 129696.
Thus, GCF of Fractions is 1/129696.Finally, GCF of Fractions for 8455/772, 1256/672 is 1/129696.