GCF of 348/932, 918/900
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 348/932, 918/900 i.e 6/209700 easily. The following is the detailed procedure to determine the greatest common factor of fractions 348/932, 918/900.
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 348/932,918/900?
Given fractions are 348/932,918/900
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 348/932,918/900, numerators are 348,918
Denominators are 932,900
The GCF of 348,918 is 6 .
LCM of 932,900 is 209700.
The greatest common factor of 348/932,918/900 = [GCF of 348,918]/[LCM of 932,900]= 6/209700
Therefore, the GCF of 348/932,918/900 is 6/209700.
To find the highest common factor of 348,918, we have to find the factors of both numbers and list the highest common factor.
The factors of 348 are 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
The factors of 918 are 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
The HCF of 348,918 is 6.
Lets's calculate GCF of 348,918
| 2 | 348, 918 |
| 3 | 174, 459 |
| 58, 153 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 348,918 By Matching Biggest Common Factor Method
Now, list down the factors of 348
:1,2,3,4,6,12,29,58,87,116,174,348
Now, list down the factors of 918
:1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918
Greatest Common Factor
We found the factors 348,918 . The biggest common factor number is the GCF number.
So the greatest common factor 348,918 is 6.
Lets's calculate LCM of 932,900
| 2 | 932, 900 |
| 2 | 466, 450 |
| 233, 225 |
∴ So the LCM of the given numbers is 2 x 2 x 233 x 225 = 209700
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/209700
Therefore, the GCF of Fractions 348/932,918/900 is 6/209700
Least Common Multiple of 932,900 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 932,900 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(932,900) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(932,900) x common factors =4 x 1 = 4
LCM(932,900) = ( 932 × 900 ) / 4
LCM(932,900) = 838800 / 4
LCM(932,900) = 209700
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FAQs on GCF of Fractions of 348/932, 918/900
1. What is the HCF of 348,918?
The HCF of 348,918 is 6
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 348/932, 918/900?
Answer: GCF of Numerators as per given numbers 348/932, 918/900 is
GCF of Numerators i.e. for 348,918 is 6
LCM of denominators i.e. for 932,900 is 209700.
Thus, GCF of Fractions is 6/209700.Finally, GCF of Fractions for 348/932, 918/900 is 6/209700.