GCF of 6418/969, 7148/1486
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6418/969, 7148/1486 i.e 2/1439934 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6418/969, 7148/1486.
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 6418/969,7148/1486?
Given fractions are 6418/969,7148/1486
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 6418/969,7148/1486, numerators are 6418,7148
Denominators are 969,1486
The GCF of 6418,7148 is 2 .
LCM of 969,1486 is 1439934.
The greatest common factor of 6418/969,7148/1486 = [GCF of 6418,7148]/[LCM of 969,1486]= 2/1439934
Therefore, the GCF of 6418/969,7148/1486 is 2/1439934.
To find the highest common factor of 6418,7148, we have to find the factors of both numbers and list the highest common factor.
The factors of 6418 are 1, 2, 3209, 6418
The factors of 7148 are 1, 2, 4, 1787, 3574, 7148
The HCF of 6418,7148 is 2.
Lets's calculate GCF of 6418,7148
| 2 | 6418, 7148 |
| 3209, 3574 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6418,7148 By Matching Biggest Common Factor Method
Now, list down the factors of 6418
:1,2,3209,6418
Now, list down the factors of 7148
:1,2,4,1787,3574,7148
Greatest Common Factor
We found the factors 6418,7148 . The biggest common factor number is the GCF number.
So the greatest common factor 6418,7148 is 2.
Lets's calculate LCM of 969,1486
Given numbers has no common factors except 1. So, there LCM is their product i.e 1439934
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1439934
Therefore, the GCF of Fractions 6418/969,7148/1486 is 2/1439934
Least Common Multiple of 969,1486 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 969,1486 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(969,1486) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(969,1486) x common factors =1 x 1 = 1
LCM(969,1486) = ( 969 × 1486 ) / 1
LCM(969,1486) = 1439934 / 1
LCM(969,1486) = 1439934
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FAQs on GCF of Fractions of 6418/969, 7148/1486
1. What is the HCF of 6418,7148?
The HCF of 6418,7148 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 6418/969, 7148/1486?
Answer: GCF of Numerators as per given numbers 6418/969, 7148/1486 is
GCF of Numerators i.e. for 6418,7148 is 2
LCM of denominators i.e. for 969,1486 is 1439934.
Thus, GCF of Fractions is 2/1439934.Finally, GCF of Fractions for 6418/969, 7148/1486 is 2/1439934.