GCF of 7947/224, 3261/9338
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7947/224, 3261/9338 i.e 3/149408 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7947/224, 3261/9338.
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 7947/224,3261/9338?
Given fractions are 7947/224,3261/9338
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 7947/224,3261/9338, numerators are 7947,3261
Denominators are 224,9338
The GCF of 7947,3261 is 3 .
LCM of 224,9338 is 149408.
The greatest common factor of 7947/224,3261/9338 = [GCF of 7947,3261]/[LCM of 224,9338]= 3/149408
Therefore, the GCF of 7947/224,3261/9338 is 3/149408.
To find the highest common factor of 7947,3261, we have to find the factors of both numbers and list the highest common factor.
The factors of 7947 are 1, 3, 9, 883, 2649, 7947
The factors of 3261 are 1, 3, 1087, 3261
The HCF of 7947,3261 is 3.
Lets's calculate GCF of 7947,3261
| 3 | 7947, 3261 |
| 2649, 1087 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7947,3261 By Matching Biggest Common Factor Method
Now, list down the factors of 7947
:1,3,9,883,2649,7947
Now, list down the factors of 3261
:1,3,1087,3261
Greatest Common Factor
We found the factors 7947,3261 . The biggest common factor number is the GCF number.
So the greatest common factor 7947,3261 is 3.
Lets's calculate LCM of 224,9338
| 2 | 224, 9338 |
| 7 | 112, 4669 |
| 16, 667 |
∴ So the LCM of the given numbers is 2 x 7 x 16 x 667 = 149408
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/149408
Therefore, the GCF of Fractions 7947/224,3261/9338 is 3/149408
Least Common Multiple of 224,9338 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 224,9338 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(224,9338) = 14
common factors(in case of two or more numbers have common factors) = 1
GCF(224,9338) x common factors =14 x 1 = 14
LCM(224,9338) = ( 224 × 9338 ) / 14
LCM(224,9338) = 2091712 / 14
LCM(224,9338) = 149408
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FAQs on GCF of Fractions of 7947/224, 3261/9338
1. What is the HCF of 7947,3261?
The HCF of 7947,3261 is 3
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 7947/224, 3261/9338?
Answer: GCF of Numerators as per given numbers 7947/224, 3261/9338 is
GCF of Numerators i.e. for 7947,3261 is 3
LCM of denominators i.e. for 224,9338 is 149408.
Thus, GCF of Fractions is 3/149408.Finally, GCF of Fractions for 7947/224, 3261/9338 is 3/149408.