GCF of 5609/645, 9757/7695
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5609/645, 9757/7695 i.e 1/330885 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5609/645, 9757/7695.
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 5609/645,9757/7695?
Given fractions are 5609/645,9757/7695
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 5609/645,9757/7695, numerators are 5609,9757
Denominators are 645,7695
The GCF of 5609,9757 is 1 .
LCM of 645,7695 is 330885.
The greatest common factor of 5609/645,9757/7695 = [GCF of 5609,9757]/[LCM of 645,7695]= 1/330885
Therefore, the GCF of 5609/645,9757/7695 is 1/330885.
To find the highest common factor of 5609,9757, we have to find the factors of both numbers and list the highest common factor.
The factors of 5609 are 1, 71, 79, 5609
The factors of 9757 are 1, 11, 887, 9757
The HCF of 5609,9757 is 1.
Lets's calculate GCF of 5609,9757
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5609,9757 By Matching Biggest Common Factor Method
Now, list down the factors of 5609
:1,71,79,5609
Now, list down the factors of 9757
:1,11,887,9757
Greatest Common Factor
We found the factors 5609,9757 . The biggest common factor number is the GCF number.
So the greatest common factor 5609,9757 is 1.
Lets's calculate LCM of 645,7695
| 3 | 645, 7695 |
| 5 | 215, 2565 |
| 43, 513 |
∴ So the LCM of the given numbers is 3 x 5 x 43 x 513 = 330885
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/330885
Therefore, the GCF of Fractions 5609/645,9757/7695 is 1/330885
Least Common Multiple of 645,7695 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 645,7695 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(645,7695) = 15
common factors(in case of two or more numbers have common factors) = 1
GCF(645,7695) x common factors =15 x 1 = 15
LCM(645,7695) = ( 645 × 7695 ) / 15
LCM(645,7695) = 4963275 / 15
LCM(645,7695) = 330885
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FAQs on GCF of Fractions of 5609/645, 9757/7695
1. What is the HCF of 5609,9757?
The HCF of 5609,9757 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 5609/645, 9757/7695?
Answer: GCF of Numerators as per given numbers 5609/645, 9757/7695 is
GCF of Numerators i.e. for 5609,9757 is 1
LCM of denominators i.e. for 645,7695 is 330885.
Thus, GCF of Fractions is 1/330885.Finally, GCF of Fractions for 5609/645, 9757/7695 is 1/330885.