GCF of 3434/789, 5351/4410
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3434/789, 5351/4410 i.e 1/1159830 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3434/789, 5351/4410.
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 3434/789,5351/4410?
Given fractions are 3434/789,5351/4410
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 3434/789,5351/4410, numerators are 3434,5351
Denominators are 789,4410
The GCF of 3434,5351 is 1 .
LCM of 789,4410 is 1159830.
The greatest common factor of 3434/789,5351/4410 = [GCF of 3434,5351]/[LCM of 789,4410]= 1/1159830
Therefore, the GCF of 3434/789,5351/4410 is 1/1159830.
To find the highest common factor of 3434,5351, we have to find the factors of both numbers and list the highest common factor.
The factors of 3434 are 1, 2, 17, 34, 101, 202, 1717, 3434
The factors of 5351 are 1, 5351
The HCF of 3434,5351 is 1.
Lets's calculate GCF of 3434,5351
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3434,5351 By Matching Biggest Common Factor Method
Now, list down the factors of 3434
:1,2,17,34,101,202,1717,3434
Now, list down the factors of 5351
:1,5351
Greatest Common Factor
We found the factors 3434,5351 . The biggest common factor number is the GCF number.
So the greatest common factor 3434,5351 is 1.
Lets's calculate LCM of 789,4410
| 3 | 789, 4410 |
| 263, 1470 |
∴ So the LCM of the given numbers is 3 x 263 x 1470 = 1159830
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1159830
Therefore, the GCF of Fractions 3434/789,5351/4410 is 1/1159830
Least Common Multiple of 789,4410 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 789,4410 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(789,4410) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(789,4410) x common factors =3 x 1 = 3
LCM(789,4410) = ( 789 × 4410 ) / 3
LCM(789,4410) = 3479490 / 3
LCM(789,4410) = 1159830
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FAQs on GCF of Fractions of 3434/789, 5351/4410
1. What is the HCF of 3434,5351?
The HCF of 3434,5351 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 3434/789, 5351/4410?
Answer: GCF of Numerators as per given numbers 3434/789, 5351/4410 is
GCF of Numerators i.e. for 3434,5351 is 1
LCM of denominators i.e. for 789,4410 is 1159830.
Thus, GCF of Fractions is 1/1159830.Finally, GCF of Fractions for 3434/789, 5351/4410 is 1/1159830.