GCF of 7345/40, 3438/495
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7345/40, 3438/495 i.e 1/3960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7345/40, 3438/495.
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 7345/40,3438/495?
Given fractions are 7345/40,3438/495
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 7345/40,3438/495, numerators are 7345,3438
Denominators are 40,495
The GCF of 7345,3438 is 1 .
LCM of 40,495 is 3960.
The greatest common factor of 7345/40,3438/495 = [GCF of 7345,3438]/[LCM of 40,495]= 1/3960
Therefore, the GCF of 7345/40,3438/495 is 1/3960.
To find the highest common factor of 7345,3438, we have to find the factors of both numbers and list the highest common factor.
The factors of 7345 are 1, 5, 13, 65, 113, 565, 1469, 7345
The factors of 3438 are 1, 2, 3, 6, 9, 18, 191, 382, 573, 1146, 1719, 3438
The HCF of 7345,3438 is 1.
Lets's calculate GCF of 7345,3438
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7345,3438 By Matching Biggest Common Factor Method
Now, list down the factors of 7345
:1,5,13,65,113,565,1469,7345
Now, list down the factors of 3438
:1,2,3,6,9,18,191,382,573,1146,1719,3438
Greatest Common Factor
We found the factors 7345,3438 . The biggest common factor number is the GCF number.
So the greatest common factor 7345,3438 is 1.
Lets's calculate LCM of 40,495
| 5 | 40, 495 |
| 8, 99 |
∴ So the LCM of the given numbers is 5 x 8 x 99 = 3960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3960
Therefore, the GCF of Fractions 7345/40,3438/495 is 1/3960
Least Common Multiple of 40,495 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 40,495 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(40,495) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(40,495) x common factors =5 x 1 = 5
LCM(40,495) = ( 40 × 495 ) / 5
LCM(40,495) = 19800 / 5
LCM(40,495) = 3960
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FAQs on GCF of Fractions of 7345/40, 3438/495
1. What is the HCF of 7345,3438?
The HCF of 7345,3438 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 7345/40, 3438/495?
Answer: GCF of Numerators as per given numbers 7345/40, 3438/495 is
GCF of Numerators i.e. for 7345,3438 is 1
LCM of denominators i.e. for 40,495 is 3960.
Thus, GCF of Fractions is 1/3960.Finally, GCF of Fractions for 7345/40, 3438/495 is 1/3960.