GCF of 844/787, 1972/916
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 844/787, 1972/916 i.e 4/720892 easily. The following is the detailed procedure to determine the greatest common factor of fractions 844/787, 1972/916.
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 844/787,1972/916?
Given fractions are 844/787,1972/916
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 844/787,1972/916, numerators are 844,1972
Denominators are 787,916
The GCF of 844,1972 is 4 .
LCM of 787,916 is 720892.
The greatest common factor of 844/787,1972/916 = [GCF of 844,1972]/[LCM of 787,916]= 4/720892
Therefore, the GCF of 844/787,1972/916 is 4/720892.
To find the highest common factor of 844,1972, we have to find the factors of both numbers and list the highest common factor.
The factors of 844 are 1, 2, 4, 211, 422, 844
The factors of 1972 are 1, 2, 4, 17, 29, 34, 58, 68, 116, 493, 986, 1972
The HCF of 844,1972 is 4.
Lets's calculate GCF of 844,1972
| 2 | 844, 1972 |
| 2 | 422, 986 |
| 211, 493 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 844,1972 By Matching Biggest Common Factor Method
Now, list down the factors of 844
:1,2,4,211,422,844
Now, list down the factors of 1972
:1,2,4,17,29,34,58,68,116,493,986,1972
Greatest Common Factor
We found the factors 844,1972 . The biggest common factor number is the GCF number.
So the greatest common factor 844,1972 is 4.
Lets's calculate LCM of 787,916
Given numbers has no common factors except 1. So, there LCM is their product i.e 720892
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/720892
Therefore, the GCF of Fractions 844/787,1972/916 is 4/720892
Least Common Multiple of 787,916 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 787,916 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(787,916) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(787,916) x common factors =1 x 1 = 1
LCM(787,916) = ( 787 × 916 ) / 1
LCM(787,916) = 720892 / 1
LCM(787,916) = 720892
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FAQs on GCF of Fractions of 844/787, 1972/916
1. What is the HCF of 844,1972?
The HCF of 844,1972 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 844/787, 1972/916?
Answer: GCF of Numerators as per given numbers 844/787, 1972/916 is
GCF of Numerators i.e. for 844,1972 is 4
LCM of denominators i.e. for 787,916 is 720892.
Thus, GCF of Fractions is 4/720892.Finally, GCF of Fractions for 844/787, 1972/916 is 4/720892.