GCF of 389/449, 778/748
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 389/449, 778/748 i.e 389/335852 easily. The following is the detailed procedure to determine the greatest common factor of fractions 389/449, 778/748.
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 389/449,778/748?
Given fractions are 389/449,778/748
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 389/449,778/748, numerators are 389,778
Denominators are 449,748
The GCF of 389,778 is 389 .
LCM of 449,748 is 335852.
The greatest common factor of 389/449,778/748 = [GCF of 389,778]/[LCM of 449,748]= 389/335852
Therefore, the GCF of 389/449,778/748 is 389/335852.
To find the highest common factor of 389,778, we have to find the factors of both numbers and list the highest common factor.
The factors of 389 are 1, 389
The factors of 778 are 1, 2, 389, 778
The HCF of 389,778 is 389.
Lets's calculate GCF of 389,778
| 389 | 389, 778 |
| 1, 2 |
∴ So the GCF of the given numbers is 389 = 389
Greatest Common Factor of 389,778 By Matching Biggest Common Factor Method
Now, list down the factors of 389
:1,389
Now, list down the factors of 778
:1,2,389,778
Greatest Common Factor
We found the factors 389,778 . The biggest common factor number is the GCF number.
So the greatest common factor 389,778 is 389.
Lets's calculate LCM of 449,748
Given numbers has no common factors except 1. So, there LCM is their product i.e 335852
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 389/335852
Therefore, the GCF of Fractions 389/449,778/748 is 389/335852
Least Common Multiple of 449,748 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 449,748 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(449,748) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(449,748) x common factors =1 x 1 = 1
LCM(449,748) = ( 449 × 748 ) / 1
LCM(449,748) = 335852 / 1
LCM(449,748) = 335852
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FAQs on GCF of Fractions of 389/449, 778/748
1. What is the HCF of 389,778?
The HCF of 389,778 is 389
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 389/449, 778/748?
Answer: GCF of Numerators as per given numbers 389/449, 778/748 is
GCF of Numerators i.e. for 389,778 is 389
LCM of denominators i.e. for 449,748 is 335852.
Thus, GCF of Fractions is 389/335852.Finally, GCF of Fractions for 389/449, 778/748 is 389/335852.