GCF of 1886/709, 7278/7045
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1886/709, 7278/7045 i.e 2/4994905 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1886/709, 7278/7045.
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 1886/709,7278/7045?
Given fractions are 1886/709,7278/7045
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 1886/709,7278/7045, numerators are 1886,7278
Denominators are 709,7045
The GCF of 1886,7278 is 2 .
LCM of 709,7045 is 4994905.
The greatest common factor of 1886/709,7278/7045 = [GCF of 1886,7278]/[LCM of 709,7045]= 2/4994905
Therefore, the GCF of 1886/709,7278/7045 is 2/4994905.
To find the highest common factor of 1886,7278, we have to find the factors of both numbers and list the highest common factor.
The factors of 1886 are 1, 2, 23, 41, 46, 82, 943, 1886
The factors of 7278 are 1, 2, 3, 6, 1213, 2426, 3639, 7278
The HCF of 1886,7278 is 2.
Lets's calculate GCF of 1886,7278
| 2 | 1886, 7278 |
| 943, 3639 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1886,7278 By Matching Biggest Common Factor Method
Now, list down the factors of 1886
:1,2,23,41,46,82,943,1886
Now, list down the factors of 7278
:1,2,3,6,1213,2426,3639,7278
Greatest Common Factor
We found the factors 1886,7278 . The biggest common factor number is the GCF number.
So the greatest common factor 1886,7278 is 2.
Lets's calculate LCM of 709,7045
Given numbers has no common factors except 1. So, there LCM is their product i.e 4994905
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4994905
Therefore, the GCF of Fractions 1886/709,7278/7045 is 2/4994905
Least Common Multiple of 709,7045 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 709,7045 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(709,7045) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(709,7045) x common factors =1 x 1 = 1
LCM(709,7045) = ( 709 × 7045 ) / 1
LCM(709,7045) = 4994905 / 1
LCM(709,7045) = 4994905
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FAQs on GCF of Fractions of 1886/709, 7278/7045
1. What is the HCF of 1886,7278?
The HCF of 1886,7278 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 1886/709, 7278/7045?
Answer: GCF of Numerators as per given numbers 1886/709, 7278/7045 is
GCF of Numerators i.e. for 1886,7278 is 2
LCM of denominators i.e. for 709,7045 is 4994905.
Thus, GCF of Fractions is 2/4994905.Finally, GCF of Fractions for 1886/709, 7278/7045 is 2/4994905.