GCF of 5948/224, 9348/7846
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5948/224, 9348/7846 i.e 4/878752 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5948/224, 9348/7846.
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 5948/224,9348/7846?
Given fractions are 5948/224,9348/7846
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 5948/224,9348/7846, numerators are 5948,9348
Denominators are 224,7846
The GCF of 5948,9348 is 4 .
LCM of 224,7846 is 878752.
The greatest common factor of 5948/224,9348/7846 = [GCF of 5948,9348]/[LCM of 224,7846]= 4/878752
Therefore, the GCF of 5948/224,9348/7846 is 4/878752.
To find the highest common factor of 5948,9348, we have to find the factors of both numbers and list the highest common factor.
The factors of 5948 are 1, 2, 4, 1487, 2974, 5948
The factors of 9348 are 1, 2, 3, 4, 6, 12, 19, 38, 41, 57, 76, 82, 114, 123, 164, 228, 246, 492, 779, 1558, 2337, 3116, 4674, 9348
The HCF of 5948,9348 is 4.
Lets's calculate GCF of 5948,9348
| 2 | 5948, 9348 |
| 2 | 2974, 4674 |
| 1487, 2337 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 5948,9348 By Matching Biggest Common Factor Method
Now, list down the factors of 5948
:1,2,4,1487,2974,5948
Now, list down the factors of 9348
:1,2,3,4,6,12,19,38,41,57,76,82,114,123,164,228,246,492,779,1558,2337,3116,4674,9348
Greatest Common Factor
We found the factors 5948,9348 . The biggest common factor number is the GCF number.
So the greatest common factor 5948,9348 is 4.
Lets's calculate LCM of 224,7846
| 2 | 224, 7846 |
| 112, 3923 |
∴ So the LCM of the given numbers is 2 x 112 x 3923 = 878752
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/878752
Therefore, the GCF of Fractions 5948/224,9348/7846 is 4/878752
Least Common Multiple of 224,7846 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 224,7846 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(224,7846) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(224,7846) x common factors =2 x 1 = 2
LCM(224,7846) = ( 224 × 7846 ) / 2
LCM(224,7846) = 1757504 / 2
LCM(224,7846) = 878752
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5948/224, 9348/7846
1. What is the HCF of 5948,9348?
The HCF of 5948,9348 is 4
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 5948/224, 9348/7846?
Answer: GCF of Numerators as per given numbers 5948/224, 9348/7846 is
GCF of Numerators i.e. for 5948,9348 is 4
LCM of denominators i.e. for 224,7846 is 878752.
Thus, GCF of Fractions is 4/878752.Finally, GCF of Fractions for 5948/224, 9348/7846 is 4/878752.