GCF of 9730/472, 1816/1221
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9730/472, 1816/1221 i.e 2/576312 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9730/472, 1816/1221.
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 9730/472,1816/1221?
Given fractions are 9730/472,1816/1221
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 9730/472,1816/1221, numerators are 9730,1816
Denominators are 472,1221
The GCF of 9730,1816 is 2 .
LCM of 472,1221 is 576312.
The greatest common factor of 9730/472,1816/1221 = [GCF of 9730,1816]/[LCM of 472,1221]= 2/576312
Therefore, the GCF of 9730/472,1816/1221 is 2/576312.
To find the highest common factor of 9730,1816, we have to find the factors of both numbers and list the highest common factor.
The factors of 9730 are 1, 2, 5, 7, 10, 14, 35, 70, 139, 278, 695, 973, 1390, 1946, 4865, 9730
The factors of 1816 are 1, 2, 4, 8, 227, 454, 908, 1816
The HCF of 9730,1816 is 2.
Lets's calculate GCF of 9730,1816
| 2 | 9730, 1816 |
| 4865, 908 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9730,1816 By Matching Biggest Common Factor Method
Now, list down the factors of 9730
:1,2,5,7,10,14,35,70,139,278,695,973,1390,1946,4865,9730
Now, list down the factors of 1816
:1,2,4,8,227,454,908,1816
Greatest Common Factor
We found the factors 9730,1816 . The biggest common factor number is the GCF number.
So the greatest common factor 9730,1816 is 2.
Lets's calculate LCM of 472,1221
Given numbers has no common factors except 1. So, there LCM is their product i.e 576312
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/576312
Therefore, the GCF of Fractions 9730/472,1816/1221 is 2/576312
Least Common Multiple of 472,1221 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 472,1221 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(472,1221) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(472,1221) x common factors =1 x 1 = 1
LCM(472,1221) = ( 472 × 1221 ) / 1
LCM(472,1221) = 576312 / 1
LCM(472,1221) = 576312
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FAQs on GCF of Fractions of 9730/472, 1816/1221
1. What is the HCF of 9730,1816?
The HCF of 9730,1816 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 9730/472, 1816/1221?
Answer: GCF of Numerators as per given numbers 9730/472, 1816/1221 is
GCF of Numerators i.e. for 9730,1816 is 2
LCM of denominators i.e. for 472,1221 is 576312.
Thus, GCF of Fractions is 2/576312.Finally, GCF of Fractions for 9730/472, 1816/1221 is 2/576312.