GCF of 7562/189, 2321/1074
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7562/189, 2321/1074 i.e 1/67662 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7562/189, 2321/1074.
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 7562/189,2321/1074?
Given fractions are 7562/189,2321/1074
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 7562/189,2321/1074, numerators are 7562,2321
Denominators are 189,1074
The GCF of 7562,2321 is 1 .
LCM of 189,1074 is 67662.
The greatest common factor of 7562/189,2321/1074 = [GCF of 7562,2321]/[LCM of 189,1074]= 1/67662
Therefore, the GCF of 7562/189,2321/1074 is 1/67662.
To find the highest common factor of 7562,2321, we have to find the factors of both numbers and list the highest common factor.
The factors of 7562 are 1, 2, 19, 38, 199, 398, 3781, 7562
The factors of 2321 are 1, 11, 211, 2321
The HCF of 7562,2321 is 1.
Lets's calculate GCF of 7562,2321
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7562,2321 By Matching Biggest Common Factor Method
Now, list down the factors of 7562
:1,2,19,38,199,398,3781,7562
Now, list down the factors of 2321
:1,11,211,2321
Greatest Common Factor
We found the factors 7562,2321 . The biggest common factor number is the GCF number.
So the greatest common factor 7562,2321 is 1.
Lets's calculate LCM of 189,1074
| 3 | 189, 1074 |
| 63, 358 |
∴ So the LCM of the given numbers is 3 x 63 x 358 = 67662
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/67662
Therefore, the GCF of Fractions 7562/189,2321/1074 is 1/67662
Least Common Multiple of 189,1074 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 189,1074 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(189,1074) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(189,1074) x common factors =3 x 1 = 3
LCM(189,1074) = ( 189 × 1074 ) / 3
LCM(189,1074) = 202986 / 3
LCM(189,1074) = 67662
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FAQs on GCF of Fractions of 7562/189, 2321/1074
1. What is the HCF of 7562,2321?
The HCF of 7562,2321 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 7562/189, 2321/1074?
Answer: GCF of Numerators as per given numbers 7562/189, 2321/1074 is
GCF of Numerators i.e. for 7562,2321 is 1
LCM of denominators i.e. for 189,1074 is 67662.
Thus, GCF of Fractions is 1/67662.Finally, GCF of Fractions for 7562/189, 2321/1074 is 1/67662.