GCF of 2044/765, 5950/6767
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2044/765, 5950/6767 i.e 14/5176755 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2044/765, 5950/6767.
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 2044/765,5950/6767?
Given fractions are 2044/765,5950/6767
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 2044/765,5950/6767, numerators are 2044,5950
Denominators are 765,6767
The GCF of 2044,5950 is 14 .
LCM of 765,6767 is 5176755.
The greatest common factor of 2044/765,5950/6767 = [GCF of 2044,5950]/[LCM of 765,6767]= 14/5176755
Therefore, the GCF of 2044/765,5950/6767 is 14/5176755.
To find the highest common factor of 2044,5950, we have to find the factors of both numbers and list the highest common factor.
The factors of 2044 are 1, 2, 4, 7, 14, 28, 73, 146, 292, 511, 1022, 2044
The factors of 5950 are 1, 2, 5, 7, 10, 14, 17, 25, 34, 35, 50, 70, 85, 119, 170, 175, 238, 350, 425, 595, 850, 1190, 2975, 5950
The HCF of 2044,5950 is 14.
Lets's calculate GCF of 2044,5950
| 2 | 2044, 5950 |
| 7 | 1022, 2975 |
| 146, 425 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 2044,5950 By Matching Biggest Common Factor Method
Now, list down the factors of 2044
:1,2,4,7,14,28,73,146,292,511,1022,2044
Now, list down the factors of 5950
:1,2,5,7,10,14,17,25,34,35,50,70,85,119,170,175,238,350,425,595,850,1190,2975,5950
Greatest Common Factor
We found the factors 2044,5950 . The biggest common factor number is the GCF number.
So the greatest common factor 2044,5950 is 14.
Lets's calculate LCM of 765,6767
Given numbers has no common factors except 1. So, there LCM is their product i.e 5176755
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/5176755
Therefore, the GCF of Fractions 2044/765,5950/6767 is 14/5176755
Least Common Multiple of 765,6767 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 765,6767 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(765,6767) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(765,6767) x common factors =1 x 1 = 1
LCM(765,6767) = ( 765 × 6767 ) / 1
LCM(765,6767) = 5176755 / 1
LCM(765,6767) = 5176755
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FAQs on GCF of Fractions of 2044/765, 5950/6767
1. What is the HCF of 2044,5950?
The HCF of 2044,5950 is 14
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 2044/765, 5950/6767?
Answer: GCF of Numerators as per given numbers 2044/765, 5950/6767 is
GCF of Numerators i.e. for 2044,5950 is 14
LCM of denominators i.e. for 765,6767 is 5176755.
Thus, GCF of Fractions is 14/5176755.Finally, GCF of Fractions for 2044/765, 5950/6767 is 14/5176755.