GCF of 36/100, 814/332, 352/551
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 36/100, 814/332, 352/551 i.e 2/4573300 easily. The following is the detailed procedure to determine the greatest common factor of fractions 36/100, 814/332, 352/551.
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 36/100,814/332,352/551?
Given fractions are 36/100,814/332,352/551
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 36/100,814/332,352/551, numerators are 36,814,352
Denominators are 100,332,551
The GCF of 36,814,352 is 2 .
LCM of 100,332,551 is 4573300.
The greatest common factor of 36/100,814/332,352/551 = [GCF of 36,814,352]/[LCM of 100,332,551]= 2/4573300
Therefore, the GCF of 36/100,814/332,352/551 is 2/4573300.
To find the highest common factor of 36,814,352, we have to find the factors of both numbers and list the highest common factor.
The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36
The factors of 814 are 1, 2, 11, 22, 37, 74, 407, 814
The factors of 352 are 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
The HCF of 36,814,352 is 2.
Lets's calculate GCF of 36,814,352
| 2 | 36, 814, 352 |
| 18, 407, 176 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 36,814,352 By Matching Biggest Common Factor Method
Now, list down the factors of 36
:1,2,3,4,6,9,12,18,36
Now, list down the factors of 814
:1,2,11,22,37,74,407,814
Now, list down the factors of 352
:1,2,4,8,11,16,22,32,44,88,176,352
Greatest Common Factor
We found the factors 36,814,352 . The biggest common factor number is the GCF number.
So the greatest common factor 36,814,352 is 2.
Lets's calculate LCM of 100,332,551
| 2 | 100, 332, 551 |
| 2 | 50, 166, 551 |
| 25, 83, 551 |
∴ So the LCM of the given numbers is 2 x 2 x 25 x 83 x 551 = 4573300
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4573300
Therefore, the GCF of Fractions 36/100,814/332,352/551 is 2/4573300
Least Common Multiple of 100,332,551 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 100,332,551 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(100,332,551) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(100,332,551) x common factors =1 x 4 = 4
LCM(100,332,551) = ( 100 × 332 × 551 ) / 4
LCM(100,332,551) = 18293200 / 4
LCM(100,332,551) = 4573300
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FAQs on GCF of Fractions of 36/100, 814/332, 352/551
1. What is the HCF of 36,814,352?
The HCF of 36,814,352 is 2
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 36/100, 814/332, 352/551?
Answer: GCF of Numerators as per given numbers 36/100, 814/332, 352/551 is
GCF of Numerators i.e. for 36,814,352 is 2
LCM of denominators i.e. for 100,332,551 is 4573300.
Thus, GCF of Fractions is 2/4573300.Finally, GCF of Fractions for 36/100, 814/332, 352/551 is 2/4573300.