GCF of 63/99, 657/34, 283/816
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 63/99, 657/34, 283/816 i.e 1/26928 easily. The following is the detailed procedure to determine the greatest common factor of fractions 63/99, 657/34, 283/816.
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 63/99,657/34,283/816?
Given fractions are 63/99,657/34,283/816
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 63/99,657/34,283/816, numerators are 63,657,283
Denominators are 99,34,816
The GCF of 63,657,283 is 1 .
LCM of 99,34,816 is 26928.
The greatest common factor of 63/99,657/34,283/816 = [GCF of 63,657,283]/[LCM of 99,34,816]= 1/26928
Therefore, the GCF of 63/99,657/34,283/816 is 1/26928.
To find the highest common factor of 63,657,283, we have to find the factors of both numbers and list the highest common factor.
The factors of 63 are 1, 3, 7, 9, 21, 63
The factors of 657 are 1, 3, 9, 73, 219, 657
The factors of 283 are 1, 283
The HCF of 63,657,283 is 1.
Lets's calculate GCF of 63,657,283
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 63,657,283 By Matching Biggest Common Factor Method
Now, list down the factors of 63
:1,3,7,9,21,63
Now, list down the factors of 657
:1,3,9,73,219,657
Now, list down the factors of 283
:1,283
Greatest Common Factor
We found the factors 63,657,283 . The biggest common factor number is the GCF number.
So the greatest common factor 63,657,283 is 1.
Lets's calculate LCM of 99,34,816
| 2 | 99, 34, 816 |
| 3 | 99, 17, 408 |
| 17 | 33, 17, 136 |
| 33, 1, 8 |
∴ So the LCM of the given numbers is 2 x 3 x 17 x 33 x 1 x 8 = 26928
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26928
Therefore, the GCF of Fractions 63/99,657/34,283/816 is 1/26928
Least Common Multiple of 99,34,816 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 99,34,816 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(99,34,816) = 1
common factors(in case of two or more numbers have common factors) = 102
GCF(99,34,816) x common factors =1 x 102 = 102
LCM(99,34,816) = ( 99 × 34 × 816 ) / 102
LCM(99,34,816) = 2746656 / 102
LCM(99,34,816) = 26928
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FAQs on GCF of Fractions of 63/99, 657/34, 283/816
1. What is the HCF of 63,657,283?
The HCF of 63,657,283 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 63/99, 657/34, 283/816?
Answer: GCF of Numerators as per given numbers 63/99, 657/34, 283/816 is
GCF of Numerators i.e. for 63,657,283 is 1
LCM of denominators i.e. for 99,34,816 is 26928.
Thus, GCF of Fractions is 1/26928.Finally, GCF of Fractions for 63/99, 657/34, 283/816 is 1/26928.