GCF of 1312/283, 9790/6722
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1312/283, 9790/6722 i.e 2/1902326 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1312/283, 9790/6722.
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 1312/283,9790/6722?
Given fractions are 1312/283,9790/6722
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 1312/283,9790/6722, numerators are 1312,9790
Denominators are 283,6722
The GCF of 1312,9790 is 2 .
LCM of 283,6722 is 1902326.
The greatest common factor of 1312/283,9790/6722 = [GCF of 1312,9790]/[LCM of 283,6722]= 2/1902326
Therefore, the GCF of 1312/283,9790/6722 is 2/1902326.
To find the highest common factor of 1312,9790, we have to find the factors of both numbers and list the highest common factor.
The factors of 1312 are 1, 2, 4, 8, 16, 32, 41, 82, 164, 328, 656, 1312
The factors of 9790 are 1, 2, 5, 10, 11, 22, 55, 89, 110, 178, 445, 890, 979, 1958, 4895, 9790
The HCF of 1312,9790 is 2.
Lets's calculate GCF of 1312,9790
| 2 | 1312, 9790 |
| 656, 4895 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1312,9790 By Matching Biggest Common Factor Method
Now, list down the factors of 1312
:1,2,4,8,16,32,41,82,164,328,656,1312
Now, list down the factors of 9790
:1,2,5,10,11,22,55,89,110,178,445,890,979,1958,4895,9790
Greatest Common Factor
We found the factors 1312,9790 . The biggest common factor number is the GCF number.
So the greatest common factor 1312,9790 is 2.
Lets's calculate LCM of 283,6722
Given numbers has no common factors except 1. So, there LCM is their product i.e 1902326
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1902326
Therefore, the GCF of Fractions 1312/283,9790/6722 is 2/1902326
Least Common Multiple of 283,6722 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 283,6722 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(283,6722) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(283,6722) x common factors =1 x 1 = 1
LCM(283,6722) = ( 283 × 6722 ) / 1
LCM(283,6722) = 1902326 / 1
LCM(283,6722) = 1902326
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FAQs on GCF of Fractions of 1312/283, 9790/6722
1. What is the HCF of 1312,9790?
The HCF of 1312,9790 is 2
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 1312/283, 9790/6722?
Answer: GCF of Numerators as per given numbers 1312/283, 9790/6722 is
GCF of Numerators i.e. for 1312,9790 is 2
LCM of denominators i.e. for 283,6722 is 1902326.
Thus, GCF of Fractions is 2/1902326.Finally, GCF of Fractions for 1312/283, 9790/6722 is 2/1902326.