GCF of 653/367, 4662/302
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 653/367, 4662/302 i.e 1/110834 easily. The following is the detailed procedure to determine the greatest common factor of fractions 653/367, 4662/302.
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 653/367,4662/302?
Given fractions are 653/367,4662/302
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 653/367,4662/302, numerators are 653,4662
Denominators are 367,302
The GCF of 653,4662 is 1 .
LCM of 367,302 is 110834.
The greatest common factor of 653/367,4662/302 = [GCF of 653,4662]/[LCM of 367,302]= 1/110834
Therefore, the GCF of 653/367,4662/302 is 1/110834.
To find the highest common factor of 653,4662, we have to find the factors of both numbers and list the highest common factor.
The factors of 653 are 1, 653
The factors of 4662 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 37, 42, 63, 74, 111, 126, 222, 259, 333, 518, 666, 777, 1554, 2331, 4662
The HCF of 653,4662 is 1.
Lets's calculate GCF of 653,4662
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 653,4662 By Matching Biggest Common Factor Method
Now, list down the factors of 653
:1,653
Now, list down the factors of 4662
:1,2,3,6,7,9,14,18,21,37,42,63,74,111,126,222,259,333,518,666,777,1554,2331,4662
Greatest Common Factor
We found the factors 653,4662 . The biggest common factor number is the GCF number.
So the greatest common factor 653,4662 is 1.
Lets's calculate LCM of 367,302
Given numbers has no common factors except 1. So, there LCM is their product i.e 110834
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/110834
Therefore, the GCF of Fractions 653/367,4662/302 is 1/110834
Least Common Multiple of 367,302 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 367,302 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(367,302) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(367,302) x common factors =1 x 1 = 1
LCM(367,302) = ( 367 × 302 ) / 1
LCM(367,302) = 110834 / 1
LCM(367,302) = 110834
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FAQs on GCF of Fractions of 653/367, 4662/302
1. What is the HCF of 653,4662?
The HCF of 653,4662 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 653/367, 4662/302?
Answer: GCF of Numerators as per given numbers 653/367, 4662/302 is
GCF of Numerators i.e. for 653,4662 is 1
LCM of denominators i.e. for 367,302 is 110834.
Thus, GCF of Fractions is 1/110834.Finally, GCF of Fractions for 653/367, 4662/302 is 1/110834.