GCF of 2470/973, 3404/7732
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2470/973, 3404/7732 i.e 2/7523236 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2470/973, 3404/7732.
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 2470/973,3404/7732?
Given fractions are 2470/973,3404/7732
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 2470/973,3404/7732, numerators are 2470,3404
Denominators are 973,7732
The GCF of 2470,3404 is 2 .
LCM of 973,7732 is 7523236.
The greatest common factor of 2470/973,3404/7732 = [GCF of 2470,3404]/[LCM of 973,7732]= 2/7523236
Therefore, the GCF of 2470/973,3404/7732 is 2/7523236.
To find the highest common factor of 2470,3404, we have to find the factors of both numbers and list the highest common factor.
The factors of 2470 are 1, 2, 5, 10, 13, 19, 26, 38, 65, 95, 130, 190, 247, 494, 1235, 2470
The factors of 3404 are 1, 2, 4, 23, 37, 46, 74, 92, 148, 851, 1702, 3404
The HCF of 2470,3404 is 2.
Lets's calculate GCF of 2470,3404
| 2 | 2470, 3404 |
| 1235, 1702 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2470,3404 By Matching Biggest Common Factor Method
Now, list down the factors of 2470
:1,2,5,10,13,19,26,38,65,95,130,190,247,494,1235,2470
Now, list down the factors of 3404
:1,2,4,23,37,46,74,92,148,851,1702,3404
Greatest Common Factor
We found the factors 2470,3404 . The biggest common factor number is the GCF number.
So the greatest common factor 2470,3404 is 2.
Lets's calculate LCM of 973,7732
Given numbers has no common factors except 1. So, there LCM is their product i.e 7523236
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7523236
Therefore, the GCF of Fractions 2470/973,3404/7732 is 2/7523236
Least Common Multiple of 973,7732 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 973,7732 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(973,7732) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(973,7732) x common factors =1 x 1 = 1
LCM(973,7732) = ( 973 × 7732 ) / 1
LCM(973,7732) = 7523236 / 1
LCM(973,7732) = 7523236
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FAQs on GCF of Fractions of 2470/973, 3404/7732
1. What is the HCF of 2470,3404?
The HCF of 2470,3404 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 2470/973, 3404/7732?
Answer: GCF of Numerators as per given numbers 2470/973, 3404/7732 is
GCF of Numerators i.e. for 2470,3404 is 2
LCM of denominators i.e. for 973,7732 is 7523236.
Thus, GCF of Fractions is 2/7523236.Finally, GCF of Fractions for 2470/973, 3404/7732 is 2/7523236.