GCF of 7318/744, 2646/7682
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7318/744, 2646/7682 i.e 2/2857704 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7318/744, 2646/7682.
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 7318/744,2646/7682?
Given fractions are 7318/744,2646/7682
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 7318/744,2646/7682, numerators are 7318,2646
Denominators are 744,7682
The GCF of 7318,2646 is 2 .
LCM of 744,7682 is 2857704.
The greatest common factor of 7318/744,2646/7682 = [GCF of 7318,2646]/[LCM of 744,7682]= 2/2857704
Therefore, the GCF of 7318/744,2646/7682 is 2/2857704.
To find the highest common factor of 7318,2646, we have to find the factors of both numbers and list the highest common factor.
The factors of 7318 are 1, 2, 3659, 7318
The factors of 2646 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 49, 54, 63, 98, 126, 147, 189, 294, 378, 441, 882, 1323, 2646
The HCF of 7318,2646 is 2.
Lets's calculate GCF of 7318,2646
| 2 | 7318, 2646 |
| 3659, 1323 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7318,2646 By Matching Biggest Common Factor Method
Now, list down the factors of 7318
:1,2,3659,7318
Now, list down the factors of 2646
:1,2,3,6,7,9,14,18,21,27,42,49,54,63,98,126,147,189,294,378,441,882,1323,2646
Greatest Common Factor
We found the factors 7318,2646 . The biggest common factor number is the GCF number.
So the greatest common factor 7318,2646 is 2.
Lets's calculate LCM of 744,7682
| 2 | 744, 7682 |
| 372, 3841 |
∴ So the LCM of the given numbers is 2 x 372 x 3841 = 2857704
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2857704
Therefore, the GCF of Fractions 7318/744,2646/7682 is 2/2857704
Least Common Multiple of 744,7682 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 744,7682 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(744,7682) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(744,7682) x common factors =2 x 1 = 2
LCM(744,7682) = ( 744 × 7682 ) / 2
LCM(744,7682) = 5715408 / 2
LCM(744,7682) = 2857704
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FAQs on GCF of Fractions of 7318/744, 2646/7682
1. What is the HCF of 7318,2646?
The HCF of 7318,2646 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 7318/744, 2646/7682?
Answer: GCF of Numerators as per given numbers 7318/744, 2646/7682 is
GCF of Numerators i.e. for 7318,2646 is 2
LCM of denominators i.e. for 744,7682 is 2857704.
Thus, GCF of Fractions is 2/2857704.Finally, GCF of Fractions for 7318/744, 2646/7682 is 2/2857704.