GCF of 6994/924, 1999/141
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6994/924, 1999/141 i.e 1/43428 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6994/924, 1999/141.
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 6994/924,1999/141?
Given fractions are 6994/924,1999/141
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 6994/924,1999/141, numerators are 6994,1999
Denominators are 924,141
The GCF of 6994,1999 is 1 .
LCM of 924,141 is 43428.
The greatest common factor of 6994/924,1999/141 = [GCF of 6994,1999]/[LCM of 924,141]= 1/43428
Therefore, the GCF of 6994/924,1999/141 is 1/43428.
To find the highest common factor of 6994,1999, we have to find the factors of both numbers and list the highest common factor.
The factors of 6994 are 1, 2, 13, 26, 269, 538, 3497, 6994
The factors of 1999 are 1, 1999
The HCF of 6994,1999 is 1.
Lets's calculate GCF of 6994,1999
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6994,1999 By Matching Biggest Common Factor Method
Now, list down the factors of 6994
:1,2,13,26,269,538,3497,6994
Now, list down the factors of 1999
:1,1999
Greatest Common Factor
We found the factors 6994,1999 . The biggest common factor number is the GCF number.
So the greatest common factor 6994,1999 is 1.
Lets's calculate LCM of 924,141
| 3 | 924, 141 |
| 308, 47 |
∴ So the LCM of the given numbers is 3 x 308 x 47 = 43428
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/43428
Therefore, the GCF of Fractions 6994/924,1999/141 is 1/43428
Least Common Multiple of 924,141 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 924,141 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(924,141) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(924,141) x common factors =3 x 1 = 3
LCM(924,141) = ( 924 × 141 ) / 3
LCM(924,141) = 130284 / 3
LCM(924,141) = 43428
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FAQs on GCF of Fractions of 6994/924, 1999/141
1. What is the HCF of 6994,1999?
The HCF of 6994,1999 is 1
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 6994/924, 1999/141?
Answer: GCF of Numerators as per given numbers 6994/924, 1999/141 is
GCF of Numerators i.e. for 6994,1999 is 1
LCM of denominators i.e. for 924,141 is 43428.
Thus, GCF of Fractions is 1/43428.Finally, GCF of Fractions for 6994/924, 1999/141 is 1/43428.