GCF of 2544/903, 8918/677
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2544/903, 8918/677 i.e 2/611331 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2544/903, 8918/677.
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 2544/903,8918/677?
Given fractions are 2544/903,8918/677
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 2544/903,8918/677, numerators are 2544,8918
Denominators are 903,677
The GCF of 2544,8918 is 2 .
LCM of 903,677 is 611331.
The greatest common factor of 2544/903,8918/677 = [GCF of 2544,8918]/[LCM of 903,677]= 2/611331
Therefore, the GCF of 2544/903,8918/677 is 2/611331.
To find the highest common factor of 2544,8918, we have to find the factors of both numbers and list the highest common factor.
The factors of 2544 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 53, 106, 159, 212, 318, 424, 636, 848, 1272, 2544
The factors of 8918 are 1, 2, 7, 13, 14, 26, 49, 91, 98, 182, 343, 637, 686, 1274, 4459, 8918
The HCF of 2544,8918 is 2.
Lets's calculate GCF of 2544,8918
| 2 | 2544, 8918 |
| 1272, 4459 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2544,8918 By Matching Biggest Common Factor Method
Now, list down the factors of 2544
:1,2,3,4,6,8,12,16,24,48,53,106,159,212,318,424,636,848,1272,2544
Now, list down the factors of 8918
:1,2,7,13,14,26,49,91,98,182,343,637,686,1274,4459,8918
Greatest Common Factor
We found the factors 2544,8918 . The biggest common factor number is the GCF number.
So the greatest common factor 2544,8918 is 2.
Lets's calculate LCM of 903,677
Given numbers has no common factors except 1. So, there LCM is their product i.e 611331
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/611331
Therefore, the GCF of Fractions 2544/903,8918/677 is 2/611331
Least Common Multiple of 903,677 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 903,677 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(903,677) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(903,677) x common factors =1 x 1 = 1
LCM(903,677) = ( 903 × 677 ) / 1
LCM(903,677) = 611331 / 1
LCM(903,677) = 611331
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FAQs on GCF of Fractions of 2544/903, 8918/677
1. What is the HCF of 2544,8918?
The HCF of 2544,8918 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 2544/903, 8918/677?
Answer: GCF of Numerators as per given numbers 2544/903, 8918/677 is
GCF of Numerators i.e. for 2544,8918 is 2
LCM of denominators i.e. for 903,677 is 611331.
Thus, GCF of Fractions is 2/611331.Finally, GCF of Fractions for 2544/903, 8918/677 is 2/611331.