GCF of 3332/636, 4995/5760
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3332/636, 4995/5760 i.e 1/305280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3332/636, 4995/5760.
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 3332/636,4995/5760?
Given fractions are 3332/636,4995/5760
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 3332/636,4995/5760, numerators are 3332,4995
Denominators are 636,5760
The GCF of 3332,4995 is 1 .
LCM of 636,5760 is 305280.
The greatest common factor of 3332/636,4995/5760 = [GCF of 3332,4995]/[LCM of 636,5760]= 1/305280
Therefore, the GCF of 3332/636,4995/5760 is 1/305280.
To find the highest common factor of 3332,4995, we have to find the factors of both numbers and list the highest common factor.
The factors of 3332 are 1, 2, 4, 7, 14, 17, 28, 34, 49, 68, 98, 119, 196, 238, 476, 833, 1666, 3332
The factors of 4995 are 1, 3, 5, 9, 15, 27, 37, 45, 111, 135, 185, 333, 555, 999, 1665, 4995
The HCF of 3332,4995 is 1.
Lets's calculate GCF of 3332,4995
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3332,4995 By Matching Biggest Common Factor Method
Now, list down the factors of 3332
:1,2,4,7,14,17,28,34,49,68,98,119,196,238,476,833,1666,3332
Now, list down the factors of 4995
:1,3,5,9,15,27,37,45,111,135,185,333,555,999,1665,4995
Greatest Common Factor
We found the factors 3332,4995 . The biggest common factor number is the GCF number.
So the greatest common factor 3332,4995 is 1.
Lets's calculate LCM of 636,5760
| 2 | 636, 5760 |
| 2 | 318, 2880 |
| 3 | 159, 1440 |
| 53, 480 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 53 x 480 = 305280
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/305280
Therefore, the GCF of Fractions 3332/636,4995/5760 is 1/305280
Least Common Multiple of 636,5760 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 636,5760 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(636,5760) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(636,5760) x common factors =12 x 1 = 12
LCM(636,5760) = ( 636 × 5760 ) / 12
LCM(636,5760) = 3663360 / 12
LCM(636,5760) = 305280
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FAQs on GCF of Fractions of 3332/636, 4995/5760
1. What is the HCF of 3332,4995?
The HCF of 3332,4995 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 3332/636, 4995/5760?
Answer: GCF of Numerators as per given numbers 3332/636, 4995/5760 is
GCF of Numerators i.e. for 3332,4995 is 1
LCM of denominators i.e. for 636,5760 is 305280.
Thus, GCF of Fractions is 1/305280.Finally, GCF of Fractions for 3332/636, 4995/5760 is 1/305280.