GCF of 9348/678, 4208/9174
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9348/678, 4208/9174 i.e 4/1036662 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9348/678, 4208/9174.
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 9348/678,4208/9174?
Given fractions are 9348/678,4208/9174
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 9348/678,4208/9174, numerators are 9348,4208
Denominators are 678,9174
The GCF of 9348,4208 is 4 .
LCM of 678,9174 is 1036662.
The greatest common factor of 9348/678,4208/9174 = [GCF of 9348,4208]/[LCM of 678,9174]= 4/1036662
Therefore, the GCF of 9348/678,4208/9174 is 4/1036662.
To find the highest common factor of 9348,4208, we have to find the factors of both numbers and list the highest common factor.
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 factors of 4208 are 1, 2, 4, 8, 16, 263, 526, 1052, 2104, 4208
The HCF of 9348,4208 is 4.
Lets's calculate GCF of 9348,4208
| 2 | 9348, 4208 |
| 2 | 4674, 2104 |
| 2337, 1052 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 9348,4208 By Matching Biggest Common Factor Method
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
Now, list down the factors of 4208
:1,2,4,8,16,263,526,1052,2104,4208
Greatest Common Factor
We found the factors 9348,4208 . The biggest common factor number is the GCF number.
So the greatest common factor 9348,4208 is 4.
Lets's calculate LCM of 678,9174
| 2 | 678, 9174 |
| 3 | 339, 4587 |
| 113, 1529 |
∴ So the LCM of the given numbers is 2 x 3 x 113 x 1529 = 1036662
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1036662
Therefore, the GCF of Fractions 9348/678,4208/9174 is 4/1036662
Least Common Multiple of 678,9174 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 678,9174 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(678,9174) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(678,9174) x common factors =6 x 1 = 6
LCM(678,9174) = ( 678 × 9174 ) / 6
LCM(678,9174) = 6219972 / 6
LCM(678,9174) = 1036662
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FAQs on GCF of Fractions of 9348/678, 4208/9174
1. What is the HCF of 9348,4208?
The HCF of 9348,4208 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 9348/678, 4208/9174?
Answer: GCF of Numerators as per given numbers 9348/678, 4208/9174 is
GCF of Numerators i.e. for 9348,4208 is 4
LCM of denominators i.e. for 678,9174 is 1036662.
Thus, GCF of Fractions is 4/1036662.Finally, GCF of Fractions for 9348/678, 4208/9174 is 4/1036662.