GCF of 3653/340, 6522/735
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3653/340, 6522/735 i.e 1/49980 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3653/340, 6522/735.
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 3653/340,6522/735?
Given fractions are 3653/340,6522/735
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 3653/340,6522/735, numerators are 3653,6522
Denominators are 340,735
The GCF of 3653,6522 is 1 .
LCM of 340,735 is 49980.
The greatest common factor of 3653/340,6522/735 = [GCF of 3653,6522]/[LCM of 340,735]= 1/49980
Therefore, the GCF of 3653/340,6522/735 is 1/49980.
To find the highest common factor of 3653,6522, we have to find the factors of both numbers and list the highest common factor.
The factors of 3653 are 1, 13, 281, 3653
The factors of 6522 are 1, 2, 3, 6, 1087, 2174, 3261, 6522
The HCF of 3653,6522 is 1.
Lets's calculate GCF of 3653,6522
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3653,6522 By Matching Biggest Common Factor Method
Now, list down the factors of 3653
:1,13,281,3653
Now, list down the factors of 6522
:1,2,3,6,1087,2174,3261,6522
Greatest Common Factor
We found the factors 3653,6522 . The biggest common factor number is the GCF number.
So the greatest common factor 3653,6522 is 1.
Lets's calculate LCM of 340,735
| 5 | 340, 735 |
| 68, 147 |
∴ So the LCM of the given numbers is 5 x 68 x 147 = 49980
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/49980
Therefore, the GCF of Fractions 3653/340,6522/735 is 1/49980
Least Common Multiple of 340,735 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 340,735 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(340,735) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(340,735) x common factors =5 x 1 = 5
LCM(340,735) = ( 340 × 735 ) / 5
LCM(340,735) = 249900 / 5
LCM(340,735) = 49980
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FAQs on GCF of Fractions of 3653/340, 6522/735
1. What is the HCF of 3653,6522?
The HCF of 3653,6522 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 3653/340, 6522/735?
Answer: GCF of Numerators as per given numbers 3653/340, 6522/735 is
GCF of Numerators i.e. for 3653,6522 is 1
LCM of denominators i.e. for 340,735 is 49980.
Thus, GCF of Fractions is 1/49980.Finally, GCF of Fractions for 3653/340, 6522/735 is 1/49980.