GCF of 4851/645, 9863/7740
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4851/645, 9863/7740 i.e 7/7740 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4851/645, 9863/7740.
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 4851/645,9863/7740?
Given fractions are 4851/645,9863/7740
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 4851/645,9863/7740, numerators are 4851,9863
Denominators are 645,7740
The GCF of 4851,9863 is 7 .
LCM of 645,7740 is 7740.
The greatest common factor of 4851/645,9863/7740 = [GCF of 4851,9863]/[LCM of 645,7740]= 7/7740
Therefore, the GCF of 4851/645,9863/7740 is 7/7740.
To find the highest common factor of 4851,9863, 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 9863 are 1, 7, 1409, 9863
The HCF of 4851,9863 is 7.
Lets's calculate GCF of 4851,9863
| 7 | 4851, 9863 |
| 693, 1409 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 4851,9863 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 9863
:1,7,1409,9863
Greatest Common Factor
We found the factors 4851,9863 . The biggest common factor number is the GCF number.
So the greatest common factor 4851,9863 is 7.
Lets's calculate LCM of 645,7740
| 3 | 645, 7740 |
| 5 | 215, 2580 |
| 43 | 43, 516 |
| 1, 12 |
∴ So the LCM of the given numbers is 3 x 5 x 43 x 1 x 12 = 7740
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/7740
Therefore, the GCF of Fractions 4851/645,9863/7740 is 7/7740
Least Common Multiple of 645,7740 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 645,7740 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(645,7740) = 645
common factors(in case of two or more numbers have common factors) = 1
GCF(645,7740) x common factors =645 x 1 = 645
LCM(645,7740) = ( 645 × 7740 ) / 645
LCM(645,7740) = 4992300 / 645
LCM(645,7740) = 7740
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FAQs on GCF of Fractions of 4851/645, 9863/7740
1. What is the HCF of 4851,9863?
The HCF of 4851,9863 is 7
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 4851/645, 9863/7740?
Answer: GCF of Numerators as per given numbers 4851/645, 9863/7740 is
GCF of Numerators i.e. for 4851,9863 is 7
LCM of denominators i.e. for 645,7740 is 7740.
Thus, GCF of Fractions is 7/7740.Finally, GCF of Fractions for 4851/645, 9863/7740 is 7/7740.