GCF of 3419/220, 7660/7544
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3419/220, 7660/7544 i.e 1/414920 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3419/220, 7660/7544.
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 3419/220,7660/7544?
Given fractions are 3419/220,7660/7544
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 3419/220,7660/7544, numerators are 3419,7660
Denominators are 220,7544
The GCF of 3419,7660 is 1 .
LCM of 220,7544 is 414920.
The greatest common factor of 3419/220,7660/7544 = [GCF of 3419,7660]/[LCM of 220,7544]= 1/414920
Therefore, the GCF of 3419/220,7660/7544 is 1/414920.
To find the highest common factor of 3419,7660, we have to find the factors of both numbers and list the highest common factor.
The factors of 3419 are 1, 13, 263, 3419
The factors of 7660 are 1, 2, 4, 5, 10, 20, 383, 766, 1532, 1915, 3830, 7660
The HCF of 3419,7660 is 1.
Lets's calculate GCF of 3419,7660
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3419,7660 By Matching Biggest Common Factor Method
Now, list down the factors of 3419
:1,13,263,3419
Now, list down the factors of 7660
:1,2,4,5,10,20,383,766,1532,1915,3830,7660
Greatest Common Factor
We found the factors 3419,7660 . The biggest common factor number is the GCF number.
So the greatest common factor 3419,7660 is 1.
Lets's calculate LCM of 220,7544
| 2 | 220, 7544 |
| 2 | 110, 3772 |
| 55, 1886 |
∴ So the LCM of the given numbers is 2 x 2 x 55 x 1886 = 414920
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/414920
Therefore, the GCF of Fractions 3419/220,7660/7544 is 1/414920
Least Common Multiple of 220,7544 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 220,7544 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(220,7544) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(220,7544) x common factors =4 x 1 = 4
LCM(220,7544) = ( 220 × 7544 ) / 4
LCM(220,7544) = 1659680 / 4
LCM(220,7544) = 414920
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FAQs on GCF of Fractions of 3419/220, 7660/7544
1. What is the HCF of 3419,7660?
The HCF of 3419,7660 is 1
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 3419/220, 7660/7544?
Answer: GCF of Numerators as per given numbers 3419/220, 7660/7544 is
GCF of Numerators i.e. for 3419,7660 is 1
LCM of denominators i.e. for 220,7544 is 414920.
Thus, GCF of Fractions is 1/414920.Finally, GCF of Fractions for 3419/220, 7660/7544 is 1/414920.