GCF of 6118/616, 1050/7827
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6118/616, 1050/7827 i.e 14/4821432 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6118/616, 1050/7827.
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 6118/616,1050/7827?
Given fractions are 6118/616,1050/7827
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 6118/616,1050/7827, numerators are 6118,1050
Denominators are 616,7827
The GCF of 6118,1050 is 14 .
LCM of 616,7827 is 4821432.
The greatest common factor of 6118/616,1050/7827 = [GCF of 6118,1050]/[LCM of 616,7827]= 14/4821432
Therefore, the GCF of 6118/616,1050/7827 is 14/4821432.
To find the highest common factor of 6118,1050, we have to find the factors of both numbers and list the highest common factor.
The factors of 6118 are 1, 2, 7, 14, 19, 23, 38, 46, 133, 161, 266, 322, 437, 874, 3059, 6118
The factors of 1050 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 25, 30, 35, 42, 50, 70, 75, 105, 150, 175, 210, 350, 525, 1050
The HCF of 6118,1050 is 14.
Lets's calculate GCF of 6118,1050
| 2 | 6118, 1050 |
| 7 | 3059, 525 |
| 437, 75 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 6118,1050 By Matching Biggest Common Factor Method
Now, list down the factors of 6118
:1,2,7,14,19,23,38,46,133,161,266,322,437,874,3059,6118
Now, list down the factors of 1050
:1,2,3,5,6,7,10,14,15,21,25,30,35,42,50,70,75,105,150,175,210,350,525,1050
Greatest Common Factor
We found the factors 6118,1050 . The biggest common factor number is the GCF number.
So the greatest common factor 6118,1050 is 14.
Lets's calculate LCM of 616,7827
Given numbers has no common factors except 1. So, there LCM is their product i.e 4821432
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/4821432
Therefore, the GCF of Fractions 6118/616,1050/7827 is 14/4821432
Least Common Multiple of 616,7827 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 616,7827 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(616,7827) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(616,7827) x common factors =1 x 1 = 1
LCM(616,7827) = ( 616 × 7827 ) / 1
LCM(616,7827) = 4821432 / 1
LCM(616,7827) = 4821432
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6118/616, 1050/7827
1. What is the HCF of 6118,1050?
The HCF of 6118,1050 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 6118/616, 1050/7827?
Answer: GCF of Numerators as per given numbers 6118/616, 1050/7827 is
GCF of Numerators i.e. for 6118,1050 is 14
LCM of denominators i.e. for 616,7827 is 4821432.
Thus, GCF of Fractions is 14/4821432.Finally, GCF of Fractions for 6118/616, 1050/7827 is 14/4821432.