GCF of 1994/142, 6770/184
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1994/142, 6770/184 i.e 2/13064 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1994/142, 6770/184.
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 1994/142,6770/184?
Given fractions are 1994/142,6770/184
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 1994/142,6770/184, numerators are 1994,6770
Denominators are 142,184
The GCF of 1994,6770 is 2 .
LCM of 142,184 is 13064.
The greatest common factor of 1994/142,6770/184 = [GCF of 1994,6770]/[LCM of 142,184]= 2/13064
Therefore, the GCF of 1994/142,6770/184 is 2/13064.
To find the highest common factor of 1994,6770, we have to find the factors of both numbers and list the highest common factor.
The factors of 1994 are 1, 2, 997, 1994
The factors of 6770 are 1, 2, 5, 10, 677, 1354, 3385, 6770
The HCF of 1994,6770 is 2.
Lets's calculate GCF of 1994,6770
| 2 | 1994, 6770 |
| 997, 3385 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1994,6770 By Matching Biggest Common Factor Method
Now, list down the factors of 1994
:1,2,997,1994
Now, list down the factors of 6770
:1,2,5,10,677,1354,3385,6770
Greatest Common Factor
We found the factors 1994,6770 . The biggest common factor number is the GCF number.
So the greatest common factor 1994,6770 is 2.
Lets's calculate LCM of 142,184
| 2 | 142, 184 |
| 71, 92 |
∴ So the LCM of the given numbers is 2 x 71 x 92 = 13064
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/13064
Therefore, the GCF of Fractions 1994/142,6770/184 is 2/13064
Least Common Multiple of 142,184 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 142,184 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(142,184) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(142,184) x common factors =2 x 1 = 2
LCM(142,184) = ( 142 × 184 ) / 2
LCM(142,184) = 26128 / 2
LCM(142,184) = 13064
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FAQs on GCF of Fractions of 1994/142, 6770/184
1. What is the HCF of 1994,6770?
The HCF of 1994,6770 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 1994/142, 6770/184?
Answer: GCF of Numerators as per given numbers 1994/142, 6770/184 is
GCF of Numerators i.e. for 1994,6770 is 2
LCM of denominators i.e. for 142,184 is 13064.
Thus, GCF of Fractions is 2/13064.Finally, GCF of Fractions for 1994/142, 6770/184 is 2/13064.