GCF of 7422/691, 2422/1928
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7422/691, 2422/1928 i.e 2/1332248 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7422/691, 2422/1928.
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 7422/691,2422/1928?
Given fractions are 7422/691,2422/1928
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 7422/691,2422/1928, numerators are 7422,2422
Denominators are 691,1928
The GCF of 7422,2422 is 2 .
LCM of 691,1928 is 1332248.
The greatest common factor of 7422/691,2422/1928 = [GCF of 7422,2422]/[LCM of 691,1928]= 2/1332248
Therefore, the GCF of 7422/691,2422/1928 is 2/1332248.
To find the highest common factor of 7422,2422, we have to find the factors of both numbers and list the highest common factor.
The factors of 7422 are 1, 2, 3, 6, 1237, 2474, 3711, 7422
The factors of 2422 are 1, 2, 7, 14, 173, 346, 1211, 2422
The HCF of 7422,2422 is 2.
Lets's calculate GCF of 7422,2422
| 2 | 7422, 2422 |
| 3711, 1211 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7422,2422 By Matching Biggest Common Factor Method
Now, list down the factors of 7422
:1,2,3,6,1237,2474,3711,7422
Now, list down the factors of 2422
:1,2,7,14,173,346,1211,2422
Greatest Common Factor
We found the factors 7422,2422 . The biggest common factor number is the GCF number.
So the greatest common factor 7422,2422 is 2.
Lets's calculate LCM of 691,1928
Given numbers has no common factors except 1. So, there LCM is their product i.e 1332248
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1332248
Therefore, the GCF of Fractions 7422/691,2422/1928 is 2/1332248
Least Common Multiple of 691,1928 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 691,1928 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(691,1928) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(691,1928) x common factors =1 x 1 = 1
LCM(691,1928) = ( 691 × 1928 ) / 1
LCM(691,1928) = 1332248 / 1
LCM(691,1928) = 1332248
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FAQs on GCF of Fractions of 7422/691, 2422/1928
1. What is the HCF of 7422,2422?
The HCF of 7422,2422 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 7422/691, 2422/1928?
Answer: GCF of Numerators as per given numbers 7422/691, 2422/1928 is
GCF of Numerators i.e. for 7422,2422 is 2
LCM of denominators i.e. for 691,1928 is 1332248.
Thus, GCF of Fractions is 2/1332248.Finally, GCF of Fractions for 7422/691, 2422/1928 is 2/1332248.