GCF of 5730/849, 5302/383
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5730/849, 5302/383 i.e 2/325167 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5730/849, 5302/383.
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 5730/849,5302/383?
Given fractions are 5730/849,5302/383
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 5730/849,5302/383, numerators are 5730,5302
Denominators are 849,383
The GCF of 5730,5302 is 2 .
LCM of 849,383 is 325167.
The greatest common factor of 5730/849,5302/383 = [GCF of 5730,5302]/[LCM of 849,383]= 2/325167
Therefore, the GCF of 5730/849,5302/383 is 2/325167.
To find the highest common factor of 5730,5302, we have to find the factors of both numbers and list the highest common factor.
The factors of 5730 are 1, 2, 3, 5, 6, 10, 15, 30, 191, 382, 573, 955, 1146, 1910, 2865, 5730
The factors of 5302 are 1, 2, 11, 22, 241, 482, 2651, 5302
The HCF of 5730,5302 is 2.
Lets's calculate GCF of 5730,5302
| 2 | 5730, 5302 |
| 2865, 2651 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5730,5302 By Matching Biggest Common Factor Method
Now, list down the factors of 5730
:1,2,3,5,6,10,15,30,191,382,573,955,1146,1910,2865,5730
Now, list down the factors of 5302
:1,2,11,22,241,482,2651,5302
Greatest Common Factor
We found the factors 5730,5302 . The biggest common factor number is the GCF number.
So the greatest common factor 5730,5302 is 2.
Lets's calculate LCM of 849,383
Given numbers has no common factors except 1. So, there LCM is their product i.e 325167
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/325167
Therefore, the GCF of Fractions 5730/849,5302/383 is 2/325167
Least Common Multiple of 849,383 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 849,383 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(849,383) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(849,383) x common factors =1 x 1 = 1
LCM(849,383) = ( 849 × 383 ) / 1
LCM(849,383) = 325167 / 1
LCM(849,383) = 325167
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FAQs on GCF of Fractions of 5730/849, 5302/383
1. What is the HCF of 5730,5302?
The HCF of 5730,5302 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 5730/849, 5302/383?
Answer: GCF of Numerators as per given numbers 5730/849, 5302/383 is
GCF of Numerators i.e. for 5730,5302 is 2
LCM of denominators i.e. for 849,383 is 325167.
Thus, GCF of Fractions is 2/325167.Finally, GCF of Fractions for 5730/849, 5302/383 is 2/325167.