GCF of 7653/326, 4646/3728
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7653/326, 4646/3728 i.e 1/607664 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7653/326, 4646/3728.
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 7653/326,4646/3728?
Given fractions are 7653/326,4646/3728
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 7653/326,4646/3728, numerators are 7653,4646
Denominators are 326,3728
The GCF of 7653,4646 is 1 .
LCM of 326,3728 is 607664.
The greatest common factor of 7653/326,4646/3728 = [GCF of 7653,4646]/[LCM of 326,3728]= 1/607664
Therefore, the GCF of 7653/326,4646/3728 is 1/607664.
To find the highest common factor of 7653,4646, we have to find the factors of both numbers and list the highest common factor.
The factors of 7653 are 1, 3, 2551, 7653
The factors of 4646 are 1, 2, 23, 46, 101, 202, 2323, 4646
The HCF of 7653,4646 is 1.
Lets's calculate GCF of 7653,4646
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7653,4646 By Matching Biggest Common Factor Method
Now, list down the factors of 7653
:1,3,2551,7653
Now, list down the factors of 4646
:1,2,23,46,101,202,2323,4646
Greatest Common Factor
We found the factors 7653,4646 . The biggest common factor number is the GCF number.
So the greatest common factor 7653,4646 is 1.
Lets's calculate LCM of 326,3728
| 2 | 326, 3728 |
| 163, 1864 |
∴ So the LCM of the given numbers is 2 x 163 x 1864 = 607664
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/607664
Therefore, the GCF of Fractions 7653/326,4646/3728 is 1/607664
Least Common Multiple of 326,3728 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 326,3728 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(326,3728) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(326,3728) x common factors =2 x 1 = 2
LCM(326,3728) = ( 326 × 3728 ) / 2
LCM(326,3728) = 1215328 / 2
LCM(326,3728) = 607664
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FAQs on GCF of Fractions of 7653/326, 4646/3728
1. What is the HCF of 7653,4646?
The HCF of 7653,4646 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 7653/326, 4646/3728?
Answer: GCF of Numerators as per given numbers 7653/326, 4646/3728 is
GCF of Numerators i.e. for 7653,4646 is 1
LCM of denominators i.e. for 326,3728 is 607664.
Thus, GCF of Fractions is 1/607664.Finally, GCF of Fractions for 7653/326, 4646/3728 is 1/607664.