GCF of 6044/985, 2138/7470
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6044/985, 2138/7470 i.e 2/1471590 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6044/985, 2138/7470.
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 6044/985,2138/7470?
Given fractions are 6044/985,2138/7470
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 6044/985,2138/7470, numerators are 6044,2138
Denominators are 985,7470
The GCF of 6044,2138 is 2 .
LCM of 985,7470 is 1471590.
The greatest common factor of 6044/985,2138/7470 = [GCF of 6044,2138]/[LCM of 985,7470]= 2/1471590
Therefore, the GCF of 6044/985,2138/7470 is 2/1471590.
To find the highest common factor of 6044,2138, we have to find the factors of both numbers and list the highest common factor.
The factors of 6044 are 1, 2, 4, 1511, 3022, 6044
The factors of 2138 are 1, 2, 1069, 2138
The HCF of 6044,2138 is 2.
Lets's calculate GCF of 6044,2138
| 2 | 6044, 2138 |
| 3022, 1069 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6044,2138 By Matching Biggest Common Factor Method
Now, list down the factors of 6044
:1,2,4,1511,3022,6044
Now, list down the factors of 2138
:1,2,1069,2138
Greatest Common Factor
We found the factors 6044,2138 . The biggest common factor number is the GCF number.
So the greatest common factor 6044,2138 is 2.
Lets's calculate LCM of 985,7470
| 5 | 985, 7470 |
| 197, 1494 |
∴ So the LCM of the given numbers is 5 x 197 x 1494 = 1471590
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1471590
Therefore, the GCF of Fractions 6044/985,2138/7470 is 2/1471590
Least Common Multiple of 985,7470 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 985,7470 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(985,7470) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(985,7470) x common factors =5 x 1 = 5
LCM(985,7470) = ( 985 × 7470 ) / 5
LCM(985,7470) = 7357950 / 5
LCM(985,7470) = 1471590
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FAQs on GCF of Fractions of 6044/985, 2138/7470
1. What is the HCF of 6044,2138?
The HCF of 6044,2138 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 6044/985, 2138/7470?
Answer: GCF of Numerators as per given numbers 6044/985, 2138/7470 is
GCF of Numerators i.e. for 6044,2138 is 2
LCM of denominators i.e. for 985,7470 is 1471590.
Thus, GCF of Fractions is 2/1471590.Finally, GCF of Fractions for 6044/985, 2138/7470 is 2/1471590.