GCF of 9954/386, 9674/3324
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9954/386, 9674/3324 i.e 14/641532 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9954/386, 9674/3324.
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 9954/386,9674/3324?
Given fractions are 9954/386,9674/3324
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 9954/386,9674/3324, numerators are 9954,9674
Denominators are 386,3324
The GCF of 9954,9674 is 14 .
LCM of 386,3324 is 641532.
The greatest common factor of 9954/386,9674/3324 = [GCF of 9954,9674]/[LCM of 386,3324]= 14/641532
Therefore, the GCF of 9954/386,9674/3324 is 14/641532.
To find the highest common factor of 9954,9674, we have to find the factors of both numbers and list the highest common factor.
The factors of 9954 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 79, 126, 158, 237, 474, 553, 711, 1106, 1422, 1659, 3318, 4977, 9954
The factors of 9674 are 1, 2, 7, 14, 691, 1382, 4837, 9674
The HCF of 9954,9674 is 14.
Lets's calculate GCF of 9954,9674
| 2 | 9954, 9674 |
| 7 | 4977, 4837 |
| 711, 691 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 9954,9674 By Matching Biggest Common Factor Method
Now, list down the factors of 9954
:1,2,3,6,7,9,14,18,21,42,63,79,126,158,237,474,553,711,1106,1422,1659,3318,4977,9954
Now, list down the factors of 9674
:1,2,7,14,691,1382,4837,9674
Greatest Common Factor
We found the factors 9954,9674 . The biggest common factor number is the GCF number.
So the greatest common factor 9954,9674 is 14.
Lets's calculate LCM of 386,3324
| 2 | 386, 3324 |
| 193, 1662 |
∴ So the LCM of the given numbers is 2 x 193 x 1662 = 641532
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/641532
Therefore, the GCF of Fractions 9954/386,9674/3324 is 14/641532
Least Common Multiple of 386,3324 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 386,3324 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(386,3324) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(386,3324) x common factors =2 x 1 = 2
LCM(386,3324) = ( 386 × 3324 ) / 2
LCM(386,3324) = 1283064 / 2
LCM(386,3324) = 641532
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FAQs on GCF of Fractions of 9954/386, 9674/3324
1. What is the HCF of 9954,9674?
The HCF of 9954,9674 is 14
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 9954/386, 9674/3324?
Answer: GCF of Numerators as per given numbers 9954/386, 9674/3324 is
GCF of Numerators i.e. for 9954,9674 is 14
LCM of denominators i.e. for 386,3324 is 641532.
Thus, GCF of Fractions is 14/641532.Finally, GCF of Fractions for 9954/386, 9674/3324 is 14/641532.