GCF of 4378/675, 7139/2065
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4378/675, 7139/2065 i.e 11/278775 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4378/675, 7139/2065.
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 4378/675,7139/2065?
Given fractions are 4378/675,7139/2065
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 4378/675,7139/2065, numerators are 4378,7139
Denominators are 675,2065
The GCF of 4378,7139 is 11 .
LCM of 675,2065 is 278775.
The greatest common factor of 4378/675,7139/2065 = [GCF of 4378,7139]/[LCM of 675,2065]= 11/278775
Therefore, the GCF of 4378/675,7139/2065 is 11/278775.
To find the highest common factor of 4378,7139, we have to find the factors of both numbers and list the highest common factor.
The factors of 4378 are 1, 2, 11, 22, 199, 398, 2189, 4378
The factors of 7139 are 1, 11, 59, 121, 649, 7139
The HCF of 4378,7139 is 11.
Lets's calculate GCF of 4378,7139
| 11 | 4378, 7139 |
| 398, 649 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 4378,7139 By Matching Biggest Common Factor Method
Now, list down the factors of 4378
:1,2,11,22,199,398,2189,4378
Now, list down the factors of 7139
:1,11,59,121,649,7139
Greatest Common Factor
We found the factors 4378,7139 . The biggest common factor number is the GCF number.
So the greatest common factor 4378,7139 is 11.
Lets's calculate LCM of 675,2065
| 5 | 675, 2065 |
| 135, 413 |
∴ So the LCM of the given numbers is 5 x 135 x 413 = 278775
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/278775
Therefore, the GCF of Fractions 4378/675,7139/2065 is 11/278775
Least Common Multiple of 675,2065 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 675,2065 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(675,2065) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(675,2065) x common factors =5 x 1 = 5
LCM(675,2065) = ( 675 × 2065 ) / 5
LCM(675,2065) = 1393875 / 5
LCM(675,2065) = 278775
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FAQs on GCF of Fractions of 4378/675, 7139/2065
1. What is the HCF of 4378,7139?
The HCF of 4378,7139 is 11
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 4378/675, 7139/2065?
Answer: GCF of Numerators as per given numbers 4378/675, 7139/2065 is
GCF of Numerators i.e. for 4378,7139 is 11
LCM of denominators i.e. for 675,2065 is 278775.
Thus, GCF of Fractions is 11/278775.Finally, GCF of Fractions for 4378/675, 7139/2065 is 11/278775.