GCF of 845/392, 2798/7791
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 845/392, 2798/7791 i.e 1/62328 easily. The following is the detailed procedure to determine the greatest common factor of fractions 845/392, 2798/7791.
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 845/392,2798/7791?
Given fractions are 845/392,2798/7791
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 845/392,2798/7791, numerators are 845,2798
Denominators are 392,7791
The GCF of 845,2798 is 1 .
LCM of 392,7791 is 62328.
The greatest common factor of 845/392,2798/7791 = [GCF of 845,2798]/[LCM of 392,7791]= 1/62328
Therefore, the GCF of 845/392,2798/7791 is 1/62328.
To find the highest common factor of 845,2798, we have to find the factors of both numbers and list the highest common factor.
The factors of 845 are 1, 5, 13, 65, 169, 845
The factors of 2798 are 1, 2, 1399, 2798
The HCF of 845,2798 is 1.
Lets's calculate GCF of 845,2798
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 845,2798 By Matching Biggest Common Factor Method
Now, list down the factors of 845
:1,5,13,65,169,845
Now, list down the factors of 2798
:1,2,1399,2798
Greatest Common Factor
We found the factors 845,2798 . The biggest common factor number is the GCF number.
So the greatest common factor 845,2798 is 1.
Lets's calculate LCM of 392,7791
| 7 | 392, 7791 |
| 7 | 56, 1113 |
| 8, 159 |
∴ So the LCM of the given numbers is 7 x 7 x 8 x 159 = 62328
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/62328
Therefore, the GCF of Fractions 845/392,2798/7791 is 1/62328
Least Common Multiple of 392,7791 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 392,7791 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(392,7791) = 49
common factors(in case of two or more numbers have common factors) = 1
GCF(392,7791) x common factors =49 x 1 = 49
LCM(392,7791) = ( 392 × 7791 ) / 49
LCM(392,7791) = 3054072 / 49
LCM(392,7791) = 62328
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FAQs on GCF of Fractions of 845/392, 2798/7791
1. What is the HCF of 845,2798?
The HCF of 845,2798 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 845/392, 2798/7791?
Answer: GCF of Numerators as per given numbers 845/392, 2798/7791 is
GCF of Numerators i.e. for 845,2798 is 1
LCM of denominators i.e. for 392,7791 is 62328.
Thus, GCF of Fractions is 1/62328.Finally, GCF of Fractions for 845/392, 2798/7791 is 1/62328.