GCF of 2744/840, 6454/6495
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2744/840, 6454/6495 i.e 14/363720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2744/840, 6454/6495.
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 2744/840,6454/6495?
Given fractions are 2744/840,6454/6495
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 2744/840,6454/6495, numerators are 2744,6454
Denominators are 840,6495
The GCF of 2744,6454 is 14 .
LCM of 840,6495 is 363720.
The greatest common factor of 2744/840,6454/6495 = [GCF of 2744,6454]/[LCM of 840,6495]= 14/363720
Therefore, the GCF of 2744/840,6454/6495 is 14/363720.
To find the highest common factor of 2744,6454, we have to find the factors of both numbers and list the highest common factor.
The factors of 2744 are 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 343, 392, 686, 1372, 2744
The factors of 6454 are 1, 2, 7, 14, 461, 922, 3227, 6454
The HCF of 2744,6454 is 14.
Lets's calculate GCF of 2744,6454
| 2 | 2744, 6454 |
| 7 | 1372, 3227 |
| 196, 461 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 2744,6454 By Matching Biggest Common Factor Method
Now, list down the factors of 2744
:1,2,4,7,8,14,28,49,56,98,196,343,392,686,1372,2744
Now, list down the factors of 6454
:1,2,7,14,461,922,3227,6454
Greatest Common Factor
We found the factors 2744,6454 . The biggest common factor number is the GCF number.
So the greatest common factor 2744,6454 is 14.
Lets's calculate LCM of 840,6495
| 3 | 840, 6495 |
| 5 | 280, 2165 |
| 56, 433 |
∴ So the LCM of the given numbers is 3 x 5 x 56 x 433 = 363720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/363720
Therefore, the GCF of Fractions 2744/840,6454/6495 is 14/363720
Least Common Multiple of 840,6495 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 840,6495 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(840,6495) = 15
common factors(in case of two or more numbers have common factors) = 1
GCF(840,6495) x common factors =15 x 1 = 15
LCM(840,6495) = ( 840 × 6495 ) / 15
LCM(840,6495) = 5455800 / 15
LCM(840,6495) = 363720
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FAQs on GCF of Fractions of 2744/840, 6454/6495
1. What is the HCF of 2744,6454?
The HCF of 2744,6454 is 14
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 2744/840, 6454/6495?
Answer: GCF of Numerators as per given numbers 2744/840, 6454/6495 is
GCF of Numerators i.e. for 2744,6454 is 14
LCM of denominators i.e. for 840,6495 is 363720.
Thus, GCF of Fractions is 14/363720.Finally, GCF of Fractions for 2744/840, 6454/6495 is 14/363720.