GCF of 2182/968, 7467/3514
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2182/968, 7467/3514 i.e 1/1700776 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2182/968, 7467/3514.
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 2182/968,7467/3514?
Given fractions are 2182/968,7467/3514
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 2182/968,7467/3514, numerators are 2182,7467
Denominators are 968,3514
The GCF of 2182,7467 is 1 .
LCM of 968,3514 is 1700776.
The greatest common factor of 2182/968,7467/3514 = [GCF of 2182,7467]/[LCM of 968,3514]= 1/1700776
Therefore, the GCF of 2182/968,7467/3514 is 1/1700776.
To find the highest common factor of 2182,7467, we have to find the factors of both numbers and list the highest common factor.
The factors of 2182 are 1, 2, 1091, 2182
The factors of 7467 are 1, 3, 19, 57, 131, 393, 2489, 7467
The HCF of 2182,7467 is 1.
Lets's calculate GCF of 2182,7467
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2182,7467 By Matching Biggest Common Factor Method
Now, list down the factors of 2182
:1,2,1091,2182
Now, list down the factors of 7467
:1,3,19,57,131,393,2489,7467
Greatest Common Factor
We found the factors 2182,7467 . The biggest common factor number is the GCF number.
So the greatest common factor 2182,7467 is 1.
Lets's calculate LCM of 968,3514
| 2 | 968, 3514 |
| 484, 1757 |
∴ So the LCM of the given numbers is 2 x 484 x 1757 = 1700776
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1700776
Therefore, the GCF of Fractions 2182/968,7467/3514 is 1/1700776
Least Common Multiple of 968,3514 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 968,3514 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(968,3514) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(968,3514) x common factors =2 x 1 = 2
LCM(968,3514) = ( 968 × 3514 ) / 2
LCM(968,3514) = 3401552 / 2
LCM(968,3514) = 1700776
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FAQs on GCF of Fractions of 2182/968, 7467/3514
1. What is the HCF of 2182,7467?
The HCF of 2182,7467 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 2182/968, 7467/3514?
Answer: GCF of Numerators as per given numbers 2182/968, 7467/3514 is
GCF of Numerators i.e. for 2182,7467 is 1
LCM of denominators i.e. for 968,3514 is 1700776.
Thus, GCF of Fractions is 1/1700776.Finally, GCF of Fractions for 2182/968, 7467/3514 is 1/1700776.