GCF of 2422/638, 5792/656
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2422/638, 5792/656 i.e 2/209264 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2422/638, 5792/656.
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 2422/638,5792/656?
Given fractions are 2422/638,5792/656
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 2422/638,5792/656, numerators are 2422,5792
Denominators are 638,656
The GCF of 2422,5792 is 2 .
LCM of 638,656 is 209264.
The greatest common factor of 2422/638,5792/656 = [GCF of 2422,5792]/[LCM of 638,656]= 2/209264
Therefore, the GCF of 2422/638,5792/656 is 2/209264.
To find the highest common factor of 2422,5792, we have to find the factors of both numbers and list the highest common factor.
The factors of 2422 are 1, 2, 7, 14, 173, 346, 1211, 2422
The factors of 5792 are 1, 2, 4, 8, 16, 32, 181, 362, 724, 1448, 2896, 5792
The HCF of 2422,5792 is 2.
Lets's calculate GCF of 2422,5792
| 2 | 2422, 5792 |
| 1211, 2896 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2422,5792 By Matching Biggest Common Factor Method
Now, list down the factors of 2422
:1,2,7,14,173,346,1211,2422
Now, list down the factors of 5792
:1,2,4,8,16,32,181,362,724,1448,2896,5792
Greatest Common Factor
We found the factors 2422,5792 . The biggest common factor number is the GCF number.
So the greatest common factor 2422,5792 is 2.
Lets's calculate LCM of 638,656
| 2 | 638, 656 |
| 319, 328 |
∴ So the LCM of the given numbers is 2 x 319 x 328 = 209264
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/209264
Therefore, the GCF of Fractions 2422/638,5792/656 is 2/209264
Least Common Multiple of 638,656 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 638,656 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(638,656) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(638,656) x common factors =2 x 1 = 2
LCM(638,656) = ( 638 × 656 ) / 2
LCM(638,656) = 418528 / 2
LCM(638,656) = 209264
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FAQs on GCF of Fractions of 2422/638, 5792/656
1. What is the HCF of 2422,5792?
The HCF of 2422,5792 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 2422/638, 5792/656?
Answer: GCF of Numerators as per given numbers 2422/638, 5792/656 is
GCF of Numerators i.e. for 2422,5792 is 2
LCM of denominators i.e. for 638,656 is 209264.
Thus, GCF of Fractions is 2/209264.Finally, GCF of Fractions for 2422/638, 5792/656 is 2/209264.