GCF of 1312/424, 6421/402
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1312/424, 6421/402 i.e 1/85224 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1312/424, 6421/402.
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 1312/424,6421/402?
Given fractions are 1312/424,6421/402
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 1312/424,6421/402, numerators are 1312,6421
Denominators are 424,402
The GCF of 1312,6421 is 1 .
LCM of 424,402 is 85224.
The greatest common factor of 1312/424,6421/402 = [GCF of 1312,6421]/[LCM of 424,402]= 1/85224
Therefore, the GCF of 1312/424,6421/402 is 1/85224.
To find the highest common factor of 1312,6421, 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 6421 are 1, 6421
The HCF of 1312,6421 is 1.
Lets's calculate GCF of 1312,6421
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1312,6421 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 6421
:1,6421
Greatest Common Factor
We found the factors 1312,6421 . The biggest common factor number is the GCF number.
So the greatest common factor 1312,6421 is 1.
Lets's calculate LCM of 424,402
| 2 | 424, 402 |
| 212, 201 |
∴ So the LCM of the given numbers is 2 x 212 x 201 = 85224
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/85224
Therefore, the GCF of Fractions 1312/424,6421/402 is 1/85224
Least Common Multiple of 424,402 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 424,402 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(424,402) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(424,402) x common factors =2 x 1 = 2
LCM(424,402) = ( 424 × 402 ) / 2
LCM(424,402) = 170448 / 2
LCM(424,402) = 85224
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1312/424, 6421/402
1. What is the HCF of 1312,6421?
The HCF of 1312,6421 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 1312/424, 6421/402?
Answer: GCF of Numerators as per given numbers 1312/424, 6421/402 is
GCF of Numerators i.e. for 1312,6421 is 1
LCM of denominators i.e. for 424,402 is 85224.
Thus, GCF of Fractions is 1/85224.Finally, GCF of Fractions for 1312/424, 6421/402 is 1/85224.