GCF of 4430/182, 3434/8984
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4430/182, 3434/8984 i.e 2/817544 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4430/182, 3434/8984.
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 4430/182,3434/8984?
Given fractions are 4430/182,3434/8984
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 4430/182,3434/8984, numerators are 4430,3434
Denominators are 182,8984
The GCF of 4430,3434 is 2 .
LCM of 182,8984 is 817544.
The greatest common factor of 4430/182,3434/8984 = [GCF of 4430,3434]/[LCM of 182,8984]= 2/817544
Therefore, the GCF of 4430/182,3434/8984 is 2/817544.
To find the highest common factor of 4430,3434, we have to find the factors of both numbers and list the highest common factor.
The factors of 4430 are 1, 2, 5, 10, 443, 886, 2215, 4430
The factors of 3434 are 1, 2, 17, 34, 101, 202, 1717, 3434
The HCF of 4430,3434 is 2.
Lets's calculate GCF of 4430,3434
| 2 | 4430, 3434 |
| 2215, 1717 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4430,3434 By Matching Biggest Common Factor Method
Now, list down the factors of 4430
:1,2,5,10,443,886,2215,4430
Now, list down the factors of 3434
:1,2,17,34,101,202,1717,3434
Greatest Common Factor
We found the factors 4430,3434 . The biggest common factor number is the GCF number.
So the greatest common factor 4430,3434 is 2.
Lets's calculate LCM of 182,8984
| 2 | 182, 8984 |
| 91, 4492 |
∴ So the LCM of the given numbers is 2 x 91 x 4492 = 817544
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/817544
Therefore, the GCF of Fractions 4430/182,3434/8984 is 2/817544
Least Common Multiple of 182,8984 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 182,8984 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(182,8984) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(182,8984) x common factors =2 x 1 = 2
LCM(182,8984) = ( 182 × 8984 ) / 2
LCM(182,8984) = 1635088 / 2
LCM(182,8984) = 817544
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FAQs on GCF of Fractions of 4430/182, 3434/8984
1. What is the HCF of 4430,3434?
The HCF of 4430,3434 is 2
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 4430/182, 3434/8984?
Answer: GCF of Numerators as per given numbers 4430/182, 3434/8984 is
GCF of Numerators i.e. for 4430,3434 is 2
LCM of denominators i.e. for 182,8984 is 817544.
Thus, GCF of Fractions is 2/817544.Finally, GCF of Fractions for 4430/182, 3434/8984 is 2/817544.