GCF of 1946/180, 8618/6673
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1946/180, 8618/6673 i.e 278/1201140 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1946/180, 8618/6673.
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 1946/180,8618/6673?
Given fractions are 1946/180,8618/6673
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 1946/180,8618/6673, numerators are 1946,8618
Denominators are 180,6673
The GCF of 1946,8618 is 278 .
LCM of 180,6673 is 1201140.
The greatest common factor of 1946/180,8618/6673 = [GCF of 1946,8618]/[LCM of 180,6673]= 278/1201140
Therefore, the GCF of 1946/180,8618/6673 is 278/1201140.
To find the highest common factor of 1946,8618, 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 8618 are 1, 2, 31, 62, 139, 278, 4309, 8618
The HCF of 1946,8618 is 278.
Lets's calculate GCF of 1946,8618
| 2 | 1946, 8618 |
| 139 | 973, 4309 |
| 7, 31 |
∴ So the GCF of the given numbers is 2 x 139 = 278
Greatest Common Factor of 1946,8618 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 8618
:1,2,31,62,139,278,4309,8618
Greatest Common Factor
We found the factors 1946,8618 . The biggest common factor number is the GCF number.
So the greatest common factor 1946,8618 is 278.
Lets's calculate LCM of 180,6673
Given numbers has no common factors except 1. So, there LCM is their product i.e 1201140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 278/1201140
Therefore, the GCF of Fractions 1946/180,8618/6673 is 278/1201140
Least Common Multiple of 180,6673 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 180,6673 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(180,6673) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(180,6673) x common factors =1 x 1 = 1
LCM(180,6673) = ( 180 × 6673 ) / 1
LCM(180,6673) = 1201140 / 1
LCM(180,6673) = 1201140
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FAQs on GCF of Fractions of 1946/180, 8618/6673
1. What is the HCF of 1946,8618?
The HCF of 1946,8618 is 278
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 1946/180, 8618/6673?
Answer: GCF of Numerators as per given numbers 1946/180, 8618/6673 is
GCF of Numerators i.e. for 1946,8618 is 278
LCM of denominators i.e. for 180,6673 is 1201140.
Thus, GCF of Fractions is 278/1201140.Finally, GCF of Fractions for 1946/180, 8618/6673 is 278/1201140.