GCF of 99/37, 996/14, 358/674
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 99/37, 996/14, 358/674 i.e 1/174566 easily. The following is the detailed procedure to determine the greatest common factor of fractions 99/37, 996/14, 358/674.
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 99/37,996/14,358/674?
Given fractions are 99/37,996/14,358/674
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 99/37,996/14,358/674, numerators are 99,996,358
Denominators are 37,14,674
The GCF of 99,996,358 is 1 .
LCM of 37,14,674 is 174566.
The greatest common factor of 99/37,996/14,358/674 = [GCF of 99,996,358]/[LCM of 37,14,674]= 1/174566
Therefore, the GCF of 99/37,996/14,358/674 is 1/174566.
To find the highest common factor of 99,996,358, we have to find the factors of both numbers and list the highest common factor.
The factors of 99 are 1, 3, 9, 11, 33, 99
The factors of 996 are 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
The factors of 358 are 1, 2, 179, 358
The HCF of 99,996,358 is 1.
Lets's calculate GCF of 99,996,358
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 99,996,358 By Matching Biggest Common Factor Method
Now, list down the factors of 99
:1,3,9,11,33,99
Now, list down the factors of 996
:1,2,3,4,6,12,83,166,249,332,498,996
Now, list down the factors of 358
:1,2,179,358
Greatest Common Factor
We found the factors 99,996,358 . The biggest common factor number is the GCF number.
So the greatest common factor 99,996,358 is 1.
Lets's calculate LCM of 37,14,674
| 2 | 37, 14, 674 |
| 37, 7, 337 |
∴ So the LCM of the given numbers is 2 x 37 x 7 x 337 = 174566
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/174566
Therefore, the GCF of Fractions 99/37,996/14,358/674 is 1/174566
Least Common Multiple of 37,14,674 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 37,14,674 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(37,14,674) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(37,14,674) x common factors =1 x 2 = 2
LCM(37,14,674) = ( 37 × 14 × 674 ) / 2
LCM(37,14,674) = 349132 / 2
LCM(37,14,674) = 174566
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FAQs on GCF of Fractions of 99/37, 996/14, 358/674
1. What is the HCF of 99,996,358?
The HCF of 99,996,358 is 1
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 99/37, 996/14, 358/674?
Answer: GCF of Numerators as per given numbers 99/37, 996/14, 358/674 is
GCF of Numerators i.e. for 99,996,358 is 1
LCM of denominators i.e. for 37,14,674 is 174566.
Thus, GCF of Fractions is 1/174566.Finally, GCF of Fractions for 99/37, 996/14, 358/674 is 1/174566.