GCF of 653/30, 284/9267
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 653/30, 284/9267 i.e 1/92670 easily. The following is the detailed procedure to determine the greatest common factor of fractions 653/30, 284/9267.
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 653/30,284/9267?
Given fractions are 653/30,284/9267
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 653/30,284/9267, numerators are 653,284
Denominators are 30,9267
The GCF of 653,284 is 1 .
LCM of 30,9267 is 92670.
The greatest common factor of 653/30,284/9267 = [GCF of 653,284]/[LCM of 30,9267]= 1/92670
Therefore, the GCF of 653/30,284/9267 is 1/92670.
To find the highest common factor of 653,284, 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 284 are 1, 2, 4, 71, 142, 284
The HCF of 653,284 is 1.
Lets's calculate GCF of 653,284
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 653,284 By Matching Biggest Common Factor Method
Now, list down the factors of 653
:1,653
Now, list down the factors of 284
:1,2,4,71,142,284
Greatest Common Factor
We found the factors 653,284 . The biggest common factor number is the GCF number.
So the greatest common factor 653,284 is 1.
Lets's calculate LCM of 30,9267
| 3 | 30, 9267 |
| 10, 3089 |
∴ So the LCM of the given numbers is 3 x 10 x 3089 = 92670
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/92670
Therefore, the GCF of Fractions 653/30,284/9267 is 1/92670
Least Common Multiple of 30,9267 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 30,9267 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(30,9267) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(30,9267) x common factors =3 x 1 = 3
LCM(30,9267) = ( 30 × 9267 ) / 3
LCM(30,9267) = 278010 / 3
LCM(30,9267) = 92670
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FAQs on GCF of Fractions of 653/30, 284/9267
1. What is the HCF of 653,284?
The HCF of 653,284 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 653/30, 284/9267?
Answer: GCF of Numerators as per given numbers 653/30, 284/9267 is
GCF of Numerators i.e. for 653,284 is 1
LCM of denominators i.e. for 30,9267 is 92670.
Thus, GCF of Fractions is 1/92670.Finally, GCF of Fractions for 653/30, 284/9267 is 1/92670.