GCF of 7051/894, 9812/5828
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7051/894, 9812/5828 i.e 11/2605116 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7051/894, 9812/5828.
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 7051/894,9812/5828?
Given fractions are 7051/894,9812/5828
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 7051/894,9812/5828, numerators are 7051,9812
Denominators are 894,5828
The GCF of 7051,9812 is 11 .
LCM of 894,5828 is 2605116.
The greatest common factor of 7051/894,9812/5828 = [GCF of 7051,9812]/[LCM of 894,5828]= 11/2605116
Therefore, the GCF of 7051/894,9812/5828 is 11/2605116.
To find the highest common factor of 7051,9812, we have to find the factors of both numbers and list the highest common factor.
The factors of 7051 are 1, 11, 641, 7051
The factors of 9812 are 1, 2, 4, 11, 22, 44, 223, 446, 892, 2453, 4906, 9812
The HCF of 7051,9812 is 11.
Lets's calculate GCF of 7051,9812
| 11 | 7051, 9812 |
| 641, 892 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 7051,9812 By Matching Biggest Common Factor Method
Now, list down the factors of 7051
:1,11,641,7051
Now, list down the factors of 9812
:1,2,4,11,22,44,223,446,892,2453,4906,9812
Greatest Common Factor
We found the factors 7051,9812 . The biggest common factor number is the GCF number.
So the greatest common factor 7051,9812 is 11.
Lets's calculate LCM of 894,5828
| 2 | 894, 5828 |
| 447, 2914 |
∴ So the LCM of the given numbers is 2 x 447 x 2914 = 2605116
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/2605116
Therefore, the GCF of Fractions 7051/894,9812/5828 is 11/2605116
Least Common Multiple of 894,5828 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 894,5828 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(894,5828) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(894,5828) x common factors =2 x 1 = 2
LCM(894,5828) = ( 894 × 5828 ) / 2
LCM(894,5828) = 5210232 / 2
LCM(894,5828) = 2605116
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FAQs on GCF of Fractions of 7051/894, 9812/5828
1. What is the HCF of 7051,9812?
The HCF of 7051,9812 is 11
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 7051/894, 9812/5828?
Answer: GCF of Numerators as per given numbers 7051/894, 9812/5828 is
GCF of Numerators i.e. for 7051,9812 is 11
LCM of denominators i.e. for 894,5828 is 2605116.
Thus, GCF of Fractions is 11/2605116.Finally, GCF of Fractions for 7051/894, 9812/5828 is 11/2605116.