GCF of 1946/255, 6419/476
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1946/255, 6419/476 i.e 7/7140 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1946/255, 6419/476.
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 1946/255,6419/476?
Given fractions are 1946/255,6419/476
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 1946/255,6419/476, numerators are 1946,6419
Denominators are 255,476
The GCF of 1946,6419 is 7 .
LCM of 255,476 is 7140.
The greatest common factor of 1946/255,6419/476 = [GCF of 1946,6419]/[LCM of 255,476]= 7/7140
Therefore, the GCF of 1946/255,6419/476 is 7/7140.
To find the highest common factor of 1946,6419, we have to find the factors of both numbers and list the highest common factor.
The factors of 1946 are 1, 2, 7, 14, 139, 278, 973, 1946
The factors of 6419 are 1, 7, 49, 131, 917, 6419
The HCF of 1946,6419 is 7.
Lets's calculate GCF of 1946,6419
| 7 | 1946, 6419 |
| 278, 917 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 1946,6419 By Matching Biggest Common Factor Method
Now, list down the factors of 1946
:1,2,7,14,139,278,973,1946
Now, list down the factors of 6419
:1,7,49,131,917,6419
Greatest Common Factor
We found the factors 1946,6419 . The biggest common factor number is the GCF number.
So the greatest common factor 1946,6419 is 7.
Lets's calculate LCM of 255,476
| 17 | 255, 476 |
| 15, 28 |
∴ So the LCM of the given numbers is 17 x 15 x 28 = 7140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/7140
Therefore, the GCF of Fractions 1946/255,6419/476 is 7/7140
Least Common Multiple of 255,476 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 255,476 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(255,476) = 17
common factors(in case of two or more numbers have common factors) = 1
GCF(255,476) x common factors =17 x 1 = 17
LCM(255,476) = ( 255 × 476 ) / 17
LCM(255,476) = 121380 / 17
LCM(255,476) = 7140
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FAQs on GCF of Fractions of 1946/255, 6419/476
1. What is the HCF of 1946,6419?
The HCF of 1946,6419 is 7
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 1946/255, 6419/476?
Answer: GCF of Numerators as per given numbers 1946/255, 6419/476 is
GCF of Numerators i.e. for 1946,6419 is 7
LCM of denominators i.e. for 255,476 is 7140.
Thus, GCF of Fractions is 7/7140.Finally, GCF of Fractions for 1946/255, 6419/476 is 7/7140.