GCF of 4417/676, 6406/738
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4417/676, 6406/738 i.e 1/249444 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4417/676, 6406/738.
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 4417/676,6406/738?
Given fractions are 4417/676,6406/738
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 4417/676,6406/738, numerators are 4417,6406
Denominators are 676,738
The GCF of 4417,6406 is 1 .
LCM of 676,738 is 249444.
The greatest common factor of 4417/676,6406/738 = [GCF of 4417,6406]/[LCM of 676,738]= 1/249444
Therefore, the GCF of 4417/676,6406/738 is 1/249444.
To find the highest common factor of 4417,6406, we have to find the factors of both numbers and list the highest common factor.
The factors of 4417 are 1, 7, 631, 4417
The factors of 6406 are 1, 2, 3203, 6406
The HCF of 4417,6406 is 1.
Lets's calculate GCF of 4417,6406
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4417,6406 By Matching Biggest Common Factor Method
Now, list down the factors of 4417
:1,7,631,4417
Now, list down the factors of 6406
:1,2,3203,6406
Greatest Common Factor
We found the factors 4417,6406 . The biggest common factor number is the GCF number.
So the greatest common factor 4417,6406 is 1.
Lets's calculate LCM of 676,738
| 2 | 676, 738 |
| 338, 369 |
∴ So the LCM of the given numbers is 2 x 338 x 369 = 249444
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/249444
Therefore, the GCF of Fractions 4417/676,6406/738 is 1/249444
Least Common Multiple of 676,738 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 676,738 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(676,738) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(676,738) x common factors =2 x 1 = 2
LCM(676,738) = ( 676 × 738 ) / 2
LCM(676,738) = 498888 / 2
LCM(676,738) = 249444
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FAQs on GCF of Fractions of 4417/676, 6406/738
1. What is the HCF of 4417,6406?
The HCF of 4417,6406 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 4417/676, 6406/738?
Answer: GCF of Numerators as per given numbers 4417/676, 6406/738 is
GCF of Numerators i.e. for 4417,6406 is 1
LCM of denominators i.e. for 676,738 is 249444.
Thus, GCF of Fractions is 1/249444.Finally, GCF of Fractions for 4417/676, 6406/738 is 1/249444.