GCF of 5647/784, 2456/1970
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5647/784, 2456/1970 i.e 1/772240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5647/784, 2456/1970.
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 5647/784,2456/1970?
Given fractions are 5647/784,2456/1970
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 5647/784,2456/1970, numerators are 5647,2456
Denominators are 784,1970
The GCF of 5647,2456 is 1 .
LCM of 784,1970 is 772240.
The greatest common factor of 5647/784,2456/1970 = [GCF of 5647,2456]/[LCM of 784,1970]= 1/772240
Therefore, the GCF of 5647/784,2456/1970 is 1/772240.
To find the highest common factor of 5647,2456, we have to find the factors of both numbers and list the highest common factor.
The factors of 5647 are 1, 5647
The factors of 2456 are 1, 2, 4, 8, 307, 614, 1228, 2456
The HCF of 5647,2456 is 1.
Lets's calculate GCF of 5647,2456
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5647,2456 By Matching Biggest Common Factor Method
Now, list down the factors of 5647
:1,5647
Now, list down the factors of 2456
:1,2,4,8,307,614,1228,2456
Greatest Common Factor
We found the factors 5647,2456 . The biggest common factor number is the GCF number.
So the greatest common factor 5647,2456 is 1.
Lets's calculate LCM of 784,1970
| 2 | 784, 1970 |
| 392, 985 |
∴ So the LCM of the given numbers is 2 x 392 x 985 = 772240
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/772240
Therefore, the GCF of Fractions 5647/784,2456/1970 is 1/772240
Least Common Multiple of 784,1970 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 784,1970 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(784,1970) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(784,1970) x common factors =2 x 1 = 2
LCM(784,1970) = ( 784 × 1970 ) / 2
LCM(784,1970) = 1544480 / 2
LCM(784,1970) = 772240
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FAQs on GCF of Fractions of 5647/784, 2456/1970
1. What is the HCF of 5647,2456?
The HCF of 5647,2456 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 5647/784, 2456/1970?
Answer: GCF of Numerators as per given numbers 5647/784, 2456/1970 is
GCF of Numerators i.e. for 5647,2456 is 1
LCM of denominators i.e. for 784,1970 is 772240.
Thus, GCF of Fractions is 1/772240.Finally, GCF of Fractions for 5647/784, 2456/1970 is 1/772240.