GCF of 7422/996, 6962/6849
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7422/996, 6962/6849 i.e 2/2273868 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7422/996, 6962/6849.
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 7422/996,6962/6849?
Given fractions are 7422/996,6962/6849
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 7422/996,6962/6849, numerators are 7422,6962
Denominators are 996,6849
The GCF of 7422,6962 is 2 .
LCM of 996,6849 is 2273868.
The greatest common factor of 7422/996,6962/6849 = [GCF of 7422,6962]/[LCM of 996,6849]= 2/2273868
Therefore, the GCF of 7422/996,6962/6849 is 2/2273868.
To find the highest common factor of 7422,6962, 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 6962 are 1, 2, 59, 118, 3481, 6962
The HCF of 7422,6962 is 2.
Lets's calculate GCF of 7422,6962
| 2 | 7422, 6962 |
| 3711, 3481 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7422,6962 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 6962
:1,2,59,118,3481,6962
Greatest Common Factor
We found the factors 7422,6962 . The biggest common factor number is the GCF number.
So the greatest common factor 7422,6962 is 2.
Lets's calculate LCM of 996,6849
| 3 | 996, 6849 |
| 332, 2283 |
∴ So the LCM of the given numbers is 3 x 332 x 2283 = 2273868
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2273868
Therefore, the GCF of Fractions 7422/996,6962/6849 is 2/2273868
Least Common Multiple of 996,6849 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 996,6849 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(996,6849) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(996,6849) x common factors =3 x 1 = 3
LCM(996,6849) = ( 996 × 6849 ) / 3
LCM(996,6849) = 6821604 / 3
LCM(996,6849) = 2273868
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FAQs on GCF of Fractions of 7422/996, 6962/6849
1. What is the HCF of 7422,6962?
The HCF of 7422,6962 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 7422/996, 6962/6849?
Answer: GCF of Numerators as per given numbers 7422/996, 6962/6849 is
GCF of Numerators i.e. for 7422,6962 is 2
LCM of denominators i.e. for 996,6849 is 2273868.
Thus, GCF of Fractions is 2/2273868.Finally, GCF of Fractions for 7422/996, 6962/6849 is 2/2273868.