GCF of 9218/948, 4274/610
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9218/948, 4274/610 i.e 2/289140 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9218/948, 4274/610.
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 9218/948,4274/610?
Given fractions are 9218/948,4274/610
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 9218/948,4274/610, numerators are 9218,4274
Denominators are 948,610
The GCF of 9218,4274 is 2 .
LCM of 948,610 is 289140.
The greatest common factor of 9218/948,4274/610 = [GCF of 9218,4274]/[LCM of 948,610]= 2/289140
Therefore, the GCF of 9218/948,4274/610 is 2/289140.
To find the highest common factor of 9218,4274, we have to find the factors of both numbers and list the highest common factor.
The factors of 9218 are 1, 2, 11, 22, 419, 838, 4609, 9218
The factors of 4274 are 1, 2, 2137, 4274
The HCF of 9218,4274 is 2.
Lets's calculate GCF of 9218,4274
| 2 | 9218, 4274 |
| 4609, 2137 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9218,4274 By Matching Biggest Common Factor Method
Now, list down the factors of 9218
:1,2,11,22,419,838,4609,9218
Now, list down the factors of 4274
:1,2,2137,4274
Greatest Common Factor
We found the factors 9218,4274 . The biggest common factor number is the GCF number.
So the greatest common factor 9218,4274 is 2.
Lets's calculate LCM of 948,610
| 2 | 948, 610 |
| 474, 305 |
∴ So the LCM of the given numbers is 2 x 474 x 305 = 289140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/289140
Therefore, the GCF of Fractions 9218/948,4274/610 is 2/289140
Least Common Multiple of 948,610 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 948,610 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(948,610) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(948,610) x common factors =2 x 1 = 2
LCM(948,610) = ( 948 × 610 ) / 2
LCM(948,610) = 578280 / 2
LCM(948,610) = 289140
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FAQs on GCF of Fractions of 9218/948, 4274/610
1. What is the HCF of 9218,4274?
The HCF of 9218,4274 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 9218/948, 4274/610?
Answer: GCF of Numerators as per given numbers 9218/948, 4274/610 is
GCF of Numerators i.e. for 9218,4274 is 2
LCM of denominators i.e. for 948,610 is 289140.
Thus, GCF of Fractions is 2/289140.Finally, GCF of Fractions for 9218/948, 4274/610 is 2/289140.