GCF of 36/884, 646/573, 280/894
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 36/884, 646/573, 280/894 i.e 2/75473268 easily. The following is the detailed procedure to determine the greatest common factor of fractions 36/884, 646/573, 280/894.
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 36/884,646/573,280/894?
Given fractions are 36/884,646/573,280/894
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 36/884,646/573,280/894, numerators are 36,646,280
Denominators are 884,573,894
The GCF of 36,646,280 is 2 .
LCM of 884,573,894 is 75473268.
The greatest common factor of 36/884,646/573,280/894 = [GCF of 36,646,280]/[LCM of 884,573,894]= 2/75473268
Therefore, the GCF of 36/884,646/573,280/894 is 2/75473268.
To find the highest common factor of 36,646,280, we have to find the factors of both numbers and list the highest common factor.
The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36
The factors of 646 are 1, 2, 17, 19, 34, 38, 323, 646
The factors of 280 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
The HCF of 36,646,280 is 2.
Lets's calculate GCF of 36,646,280
| 2 | 36, 646, 280 |
| 18, 323, 140 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 36,646,280 By Matching Biggest Common Factor Method
Now, list down the factors of 36
:1,2,3,4,6,9,12,18,36
Now, list down the factors of 646
:1,2,17,19,34,38,323,646
Now, list down the factors of 280
:1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280
Greatest Common Factor
We found the factors 36,646,280 . The biggest common factor number is the GCF number.
So the greatest common factor 36,646,280 is 2.
Lets's calculate LCM of 884,573,894
| 2 | 884, 573, 894 |
| 3 | 442, 573, 447 |
| 442, 191, 149 |
∴ So the LCM of the given numbers is 2 x 3 x 442 x 191 x 149 = 75473268
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/75473268
Therefore, the GCF of Fractions 36/884,646/573,280/894 is 2/75473268
Least Common Multiple of 884,573,894 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 884,573,894 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(884,573,894) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(884,573,894) x common factors =1 x 6 = 6
LCM(884,573,894) = ( 884 × 573 × 894 ) / 6
LCM(884,573,894) = 452839608 / 6
LCM(884,573,894) = 75473268
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FAQs on GCF of Fractions of 36/884, 646/573, 280/894
1. What is the HCF of 36,646,280?
The HCF of 36,646,280 is 2
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 36/884, 646/573, 280/894?
Answer: GCF of Numerators as per given numbers 36/884, 646/573, 280/894 is
GCF of Numerators i.e. for 36,646,280 is 2
LCM of denominators i.e. for 884,573,894 is 75473268.
Thus, GCF of Fractions is 2/75473268.Finally, GCF of Fractions for 36/884, 646/573, 280/894 is 2/75473268.