GCF of 2302/398, 6924/6967
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2302/398, 6924/6967 i.e 2/2772866 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2302/398, 6924/6967.
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 2302/398,6924/6967?
Given fractions are 2302/398,6924/6967
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 2302/398,6924/6967, numerators are 2302,6924
Denominators are 398,6967
The GCF of 2302,6924 is 2 .
LCM of 398,6967 is 2772866.
The greatest common factor of 2302/398,6924/6967 = [GCF of 2302,6924]/[LCM of 398,6967]= 2/2772866
Therefore, the GCF of 2302/398,6924/6967 is 2/2772866.
To find the highest common factor of 2302,6924, we have to find the factors of both numbers and list the highest common factor.
The factors of 2302 are 1, 2, 1151, 2302
The factors of 6924 are 1, 2, 3, 4, 6, 12, 577, 1154, 1731, 2308, 3462, 6924
The HCF of 2302,6924 is 2.
Lets's calculate GCF of 2302,6924
| 2 | 2302, 6924 |
| 1151, 3462 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2302,6924 By Matching Biggest Common Factor Method
Now, list down the factors of 2302
:1,2,1151,2302
Now, list down the factors of 6924
:1,2,3,4,6,12,577,1154,1731,2308,3462,6924
Greatest Common Factor
We found the factors 2302,6924 . The biggest common factor number is the GCF number.
So the greatest common factor 2302,6924 is 2.
Lets's calculate LCM of 398,6967
Given numbers has no common factors except 1. So, there LCM is their product i.e 2772866
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2772866
Therefore, the GCF of Fractions 2302/398,6924/6967 is 2/2772866
Least Common Multiple of 398,6967 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 398,6967 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(398,6967) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(398,6967) x common factors =1 x 1 = 1
LCM(398,6967) = ( 398 × 6967 ) / 1
LCM(398,6967) = 2772866 / 1
LCM(398,6967) = 2772866
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FAQs on GCF of Fractions of 2302/398, 6924/6967
1. What is the HCF of 2302,6924?
The HCF of 2302,6924 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 2302/398, 6924/6967?
Answer: GCF of Numerators as per given numbers 2302/398, 6924/6967 is
GCF of Numerators i.e. for 2302,6924 is 2
LCM of denominators i.e. for 398,6967 is 2772866.
Thus, GCF of Fractions is 2/2772866.Finally, GCF of Fractions for 2302/398, 6924/6967 is 2/2772866.