GCF of 5949/434, 1219/1230
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5949/434, 1219/1230 i.e 1/266910 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5949/434, 1219/1230.
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 5949/434,1219/1230?
Given fractions are 5949/434,1219/1230
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 5949/434,1219/1230, numerators are 5949,1219
Denominators are 434,1230
The GCF of 5949,1219 is 1 .
LCM of 434,1230 is 266910.
The greatest common factor of 5949/434,1219/1230 = [GCF of 5949,1219]/[LCM of 434,1230]= 1/266910
Therefore, the GCF of 5949/434,1219/1230 is 1/266910.
To find the highest common factor of 5949,1219, we have to find the factors of both numbers and list the highest common factor.
The factors of 5949 are 1, 3, 9, 661, 1983, 5949
The factors of 1219 are 1, 23, 53, 1219
The HCF of 5949,1219 is 1.
Lets's calculate GCF of 5949,1219
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5949,1219 By Matching Biggest Common Factor Method
Now, list down the factors of 5949
:1,3,9,661,1983,5949
Now, list down the factors of 1219
:1,23,53,1219
Greatest Common Factor
We found the factors 5949,1219 . The biggest common factor number is the GCF number.
So the greatest common factor 5949,1219 is 1.
Lets's calculate LCM of 434,1230
| 2 | 434, 1230 |
| 217, 615 |
∴ So the LCM of the given numbers is 2 x 217 x 615 = 266910
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/266910
Therefore, the GCF of Fractions 5949/434,1219/1230 is 1/266910
Least Common Multiple of 434,1230 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 434,1230 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(434,1230) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(434,1230) x common factors =2 x 1 = 2
LCM(434,1230) = ( 434 × 1230 ) / 2
LCM(434,1230) = 533820 / 2
LCM(434,1230) = 266910
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FAQs on GCF of Fractions of 5949/434, 1219/1230
1. What is the HCF of 5949,1219?
The HCF of 5949,1219 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 5949/434, 1219/1230?
Answer: GCF of Numerators as per given numbers 5949/434, 1219/1230 is
GCF of Numerators i.e. for 5949,1219 is 1
LCM of denominators i.e. for 434,1230 is 266910.
Thus, GCF of Fractions is 1/266910.Finally, GCF of Fractions for 5949/434, 1219/1230 is 1/266910.