GCF of 2813/672, 7962/786
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2813/672, 7962/786 i.e 1/88032 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2813/672, 7962/786.
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 2813/672,7962/786?
Given fractions are 2813/672,7962/786
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 2813/672,7962/786, numerators are 2813,7962
Denominators are 672,786
The GCF of 2813,7962 is 1 .
LCM of 672,786 is 88032.
The greatest common factor of 2813/672,7962/786 = [GCF of 2813,7962]/[LCM of 672,786]= 1/88032
Therefore, the GCF of 2813/672,7962/786 is 1/88032.
To find the highest common factor of 2813,7962, we have to find the factors of both numbers and list the highest common factor.
The factors of 2813 are 1, 29, 97, 2813
The factors of 7962 are 1, 2, 3, 6, 1327, 2654, 3981, 7962
The HCF of 2813,7962 is 1.
Lets's calculate GCF of 2813,7962
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2813,7962 By Matching Biggest Common Factor Method
Now, list down the factors of 2813
:1,29,97,2813
Now, list down the factors of 7962
:1,2,3,6,1327,2654,3981,7962
Greatest Common Factor
We found the factors 2813,7962 . The biggest common factor number is the GCF number.
So the greatest common factor 2813,7962 is 1.
Lets's calculate LCM of 672,786
| 2 | 672, 786 |
| 3 | 336, 393 |
| 112, 131 |
∴ So the LCM of the given numbers is 2 x 3 x 112 x 131 = 88032
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/88032
Therefore, the GCF of Fractions 2813/672,7962/786 is 1/88032
Least Common Multiple of 672,786 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 672,786 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(672,786) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(672,786) x common factors =6 x 1 = 6
LCM(672,786) = ( 672 × 786 ) / 6
LCM(672,786) = 528192 / 6
LCM(672,786) = 88032
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FAQs on GCF of Fractions of 2813/672, 7962/786
1. What is the HCF of 2813,7962?
The HCF of 2813,7962 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 2813/672, 7962/786?
Answer: GCF of Numerators as per given numbers 2813/672, 7962/786 is
GCF of Numerators i.e. for 2813,7962 is 1
LCM of denominators i.e. for 672,786 is 88032.
Thus, GCF of Fractions is 1/88032.Finally, GCF of Fractions for 2813/672, 7962/786 is 1/88032.