GCF of 1312/644, 6236/982
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1312/644, 6236/982 i.e 4/316204 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1312/644, 6236/982.
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 1312/644,6236/982?
Given fractions are 1312/644,6236/982
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 1312/644,6236/982, numerators are 1312,6236
Denominators are 644,982
The GCF of 1312,6236 is 4 .
LCM of 644,982 is 316204.
The greatest common factor of 1312/644,6236/982 = [GCF of 1312,6236]/[LCM of 644,982]= 4/316204
Therefore, the GCF of 1312/644,6236/982 is 4/316204.
To find the highest common factor of 1312,6236, 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 6236 are 1, 2, 4, 1559, 3118, 6236
The HCF of 1312,6236 is 4.
Lets's calculate GCF of 1312,6236
| 2 | 1312, 6236 |
| 2 | 656, 3118 |
| 328, 1559 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 1312,6236 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 6236
:1,2,4,1559,3118,6236
Greatest Common Factor
We found the factors 1312,6236 . The biggest common factor number is the GCF number.
So the greatest common factor 1312,6236 is 4.
Lets's calculate LCM of 644,982
| 2 | 644, 982 |
| 322, 491 |
∴ So the LCM of the given numbers is 2 x 322 x 491 = 316204
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/316204
Therefore, the GCF of Fractions 1312/644,6236/982 is 4/316204
Least Common Multiple of 644,982 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 644,982 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(644,982) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(644,982) x common factors =2 x 1 = 2
LCM(644,982) = ( 644 × 982 ) / 2
LCM(644,982) = 632408 / 2
LCM(644,982) = 316204
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FAQs on GCF of Fractions of 1312/644, 6236/982
1. What is the HCF of 1312,6236?
The HCF of 1312,6236 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 1312/644, 6236/982?
Answer: GCF of Numerators as per given numbers 1312/644, 6236/982 is
GCF of Numerators i.e. for 1312,6236 is 4
LCM of denominators i.e. for 644,982 is 316204.
Thus, GCF of Fractions is 4/316204.Finally, GCF of Fractions for 1312/644, 6236/982 is 4/316204.