GCF of 6856/779, 1252/7281
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6856/779, 1252/7281 i.e 4/5671899 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6856/779, 1252/7281.
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 6856/779,1252/7281?
Given fractions are 6856/779,1252/7281
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 6856/779,1252/7281, numerators are 6856,1252
Denominators are 779,7281
The GCF of 6856,1252 is 4 .
LCM of 779,7281 is 5671899.
The greatest common factor of 6856/779,1252/7281 = [GCF of 6856,1252]/[LCM of 779,7281]= 4/5671899
Therefore, the GCF of 6856/779,1252/7281 is 4/5671899.
To find the highest common factor of 6856,1252, we have to find the factors of both numbers and list the highest common factor.
The factors of 6856 are 1, 2, 4, 8, 857, 1714, 3428, 6856
The factors of 1252 are 1, 2, 4, 313, 626, 1252
The HCF of 6856,1252 is 4.
Lets's calculate GCF of 6856,1252
| 2 | 6856, 1252 |
| 2 | 3428, 626 |
| 1714, 313 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 6856,1252 By Matching Biggest Common Factor Method
Now, list down the factors of 6856
:1,2,4,8,857,1714,3428,6856
Now, list down the factors of 1252
:1,2,4,313,626,1252
Greatest Common Factor
We found the factors 6856,1252 . The biggest common factor number is the GCF number.
So the greatest common factor 6856,1252 is 4.
Lets's calculate LCM of 779,7281
Given numbers has no common factors except 1. So, there LCM is their product i.e 5671899
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/5671899
Therefore, the GCF of Fractions 6856/779,1252/7281 is 4/5671899
Least Common Multiple of 779,7281 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 779,7281 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(779,7281) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(779,7281) x common factors =1 x 1 = 1
LCM(779,7281) = ( 779 × 7281 ) / 1
LCM(779,7281) = 5671899 / 1
LCM(779,7281) = 5671899
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FAQs on GCF of Fractions of 6856/779, 1252/7281
1. What is the HCF of 6856,1252?
The HCF of 6856,1252 is 4
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 6856/779, 1252/7281?
Answer: GCF of Numerators as per given numbers 6856/779, 1252/7281 is
GCF of Numerators i.e. for 6856,1252 is 4
LCM of denominators i.e. for 779,7281 is 5671899.
Thus, GCF of Fractions is 4/5671899.Finally, GCF of Fractions for 6856/779, 1252/7281 is 4/5671899.