GCF of 4851/727, 1872/1977
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4851/727, 1872/1977 i.e 9/1437279 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4851/727, 1872/1977.
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 4851/727,1872/1977?
Given fractions are 4851/727,1872/1977
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 4851/727,1872/1977, numerators are 4851,1872
Denominators are 727,1977
The GCF of 4851,1872 is 9 .
LCM of 727,1977 is 1437279.
The greatest common factor of 4851/727,1872/1977 = [GCF of 4851,1872]/[LCM of 727,1977]= 9/1437279
Therefore, the GCF of 4851/727,1872/1977 is 9/1437279.
To find the highest common factor of 4851,1872, we have to find the factors of both numbers and list the highest common factor.
The factors of 4851 are 1, 3, 7, 9, 11, 21, 33, 49, 63, 77, 99, 147, 231, 441, 539, 693, 1617, 4851
The factors of 1872 are 1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 36, 39, 48, 52, 72, 78, 104, 117, 144, 156, 208, 234, 312, 468, 624, 936, 1872
The HCF of 4851,1872 is 9.
Lets's calculate GCF of 4851,1872
| 3 | 4851, 1872 |
| 3 | 1617, 624 |
| 539, 208 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 4851,1872 By Matching Biggest Common Factor Method
Now, list down the factors of 4851
:1,3,7,9,11,21,33,49,63,77,99,147,231,441,539,693,1617,4851
Now, list down the factors of 1872
:1,2,3,4,6,8,9,12,13,16,18,24,26,36,39,48,52,72,78,104,117,144,156,208,234,312,468,624,936,1872
Greatest Common Factor
We found the factors 4851,1872 . The biggest common factor number is the GCF number.
So the greatest common factor 4851,1872 is 9.
Lets's calculate LCM of 727,1977
Given numbers has no common factors except 1. So, there LCM is their product i.e 1437279
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/1437279
Therefore, the GCF of Fractions 4851/727,1872/1977 is 9/1437279
Least Common Multiple of 727,1977 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 727,1977 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(727,1977) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(727,1977) x common factors =1 x 1 = 1
LCM(727,1977) = ( 727 × 1977 ) / 1
LCM(727,1977) = 1437279 / 1
LCM(727,1977) = 1437279
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FAQs on GCF of Fractions of 4851/727, 1872/1977
1. What is the HCF of 4851,1872?
The HCF of 4851,1872 is 9
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 4851/727, 1872/1977?
Answer: GCF of Numerators as per given numbers 4851/727, 1872/1977 is
GCF of Numerators i.e. for 4851,1872 is 9
LCM of denominators i.e. for 727,1977 is 1437279.
Thus, GCF of Fractions is 9/1437279.Finally, GCF of Fractions for 4851/727, 1872/1977 is 9/1437279.