GCF of 7458/645, 7709/6960
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7458/645, 7709/6960 i.e 1/299280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7458/645, 7709/6960.
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 7458/645,7709/6960?
Given fractions are 7458/645,7709/6960
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 7458/645,7709/6960, numerators are 7458,7709
Denominators are 645,6960
The GCF of 7458,7709 is 1 .
LCM of 645,6960 is 299280.
The greatest common factor of 7458/645,7709/6960 = [GCF of 7458,7709]/[LCM of 645,6960]= 1/299280
Therefore, the GCF of 7458/645,7709/6960 is 1/299280.
To find the highest common factor of 7458,7709, we have to find the factors of both numbers and list the highest common factor.
The factors of 7458 are 1, 2, 3, 6, 11, 22, 33, 66, 113, 226, 339, 678, 1243, 2486, 3729, 7458
The factors of 7709 are 1, 13, 593, 7709
The HCF of 7458,7709 is 1.
Lets's calculate GCF of 7458,7709
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7458,7709 By Matching Biggest Common Factor Method
Now, list down the factors of 7458
:1,2,3,6,11,22,33,66,113,226,339,678,1243,2486,3729,7458
Now, list down the factors of 7709
:1,13,593,7709
Greatest Common Factor
We found the factors 7458,7709 . The biggest common factor number is the GCF number.
So the greatest common factor 7458,7709 is 1.
Lets's calculate LCM of 645,6960
| 3 | 645, 6960 |
| 5 | 215, 2320 |
| 43, 464 |
∴ So the LCM of the given numbers is 3 x 5 x 43 x 464 = 299280
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/299280
Therefore, the GCF of Fractions 7458/645,7709/6960 is 1/299280
Least Common Multiple of 645,6960 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 645,6960 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(645,6960) = 15
common factors(in case of two or more numbers have common factors) = 1
GCF(645,6960) x common factors =15 x 1 = 15
LCM(645,6960) = ( 645 × 6960 ) / 15
LCM(645,6960) = 4489200 / 15
LCM(645,6960) = 299280
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FAQs on GCF of Fractions of 7458/645, 7709/6960
1. What is the HCF of 7458,7709?
The HCF of 7458,7709 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 7458/645, 7709/6960?
Answer: GCF of Numerators as per given numbers 7458/645, 7709/6960 is
GCF of Numerators i.e. for 7458,7709 is 1
LCM of denominators i.e. for 645,6960 is 299280.
Thus, GCF of Fractions is 1/299280.Finally, GCF of Fractions for 7458/645, 7709/6960 is 1/299280.