GCF of 2782/921, 2388/1859
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2782/921, 2388/1859 i.e 2/1712139 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2782/921, 2388/1859.
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 2782/921,2388/1859?
Given fractions are 2782/921,2388/1859
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 2782/921,2388/1859, numerators are 2782,2388
Denominators are 921,1859
The GCF of 2782,2388 is 2 .
LCM of 921,1859 is 1712139.
The greatest common factor of 2782/921,2388/1859 = [GCF of 2782,2388]/[LCM of 921,1859]= 2/1712139
Therefore, the GCF of 2782/921,2388/1859 is 2/1712139.
To find the highest common factor of 2782,2388, we have to find the factors of both numbers and list the highest common factor.
The factors of 2782 are 1, 2, 13, 26, 107, 214, 1391, 2782
The factors of 2388 are 1, 2, 3, 4, 6, 12, 199, 398, 597, 796, 1194, 2388
The HCF of 2782,2388 is 2.
Lets's calculate GCF of 2782,2388
| 2 | 2782, 2388 |
| 1391, 1194 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2782,2388 By Matching Biggest Common Factor Method
Now, list down the factors of 2782
:1,2,13,26,107,214,1391,2782
Now, list down the factors of 2388
:1,2,3,4,6,12,199,398,597,796,1194,2388
Greatest Common Factor
We found the factors 2782,2388 . The biggest common factor number is the GCF number.
So the greatest common factor 2782,2388 is 2.
Lets's calculate LCM of 921,1859
Given numbers has no common factors except 1. So, there LCM is their product i.e 1712139
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1712139
Therefore, the GCF of Fractions 2782/921,2388/1859 is 2/1712139
Least Common Multiple of 921,1859 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 921,1859 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(921,1859) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(921,1859) x common factors =1 x 1 = 1
LCM(921,1859) = ( 921 × 1859 ) / 1
LCM(921,1859) = 1712139 / 1
LCM(921,1859) = 1712139
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FAQs on GCF of Fractions of 2782/921, 2388/1859
1. What is the HCF of 2782,2388?
The HCF of 2782,2388 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 2782/921, 2388/1859?
Answer: GCF of Numerators as per given numbers 2782/921, 2388/1859 is
GCF of Numerators i.e. for 2782,2388 is 2
LCM of denominators i.e. for 921,1859 is 1712139.
Thus, GCF of Fractions is 2/1712139.Finally, GCF of Fractions for 2782/921, 2388/1859 is 2/1712139.