GCF of 3360/533, 4396/6852
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3360/533, 4396/6852 i.e 28/3652116 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3360/533, 4396/6852.
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 3360/533,4396/6852?
Given fractions are 3360/533,4396/6852
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 3360/533,4396/6852, numerators are 3360,4396
Denominators are 533,6852
The GCF of 3360,4396 is 28 .
LCM of 533,6852 is 3652116.
The greatest common factor of 3360/533,4396/6852 = [GCF of 3360,4396]/[LCM of 533,6852]= 28/3652116
Therefore, the GCF of 3360/533,4396/6852 is 28/3652116.
To find the highest common factor of 3360,4396, we have to find the factors of both numbers and list the highest common factor.
The factors of 3360 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 28, 30, 32, 35, 40, 42, 48, 56, 60, 70, 80, 84, 96, 105, 112, 120, 140, 160, 168, 210, 224, 240, 280, 336, 420, 480, 560, 672, 840, 1120, 1680, 3360
The factors of 4396 are 1, 2, 4, 7, 14, 28, 157, 314, 628, 1099, 2198, 4396
The HCF of 3360,4396 is 28.
Lets's calculate GCF of 3360,4396
| 2 | 3360, 4396 |
| 2 | 1680, 2198 |
| 7 | 840, 1099 |
| 120, 157 |
∴ So the GCF of the given numbers is 2 x 2 x 7 = 28
Greatest Common Factor of 3360,4396 By Matching Biggest Common Factor Method
Now, list down the factors of 3360
:1,2,3,4,5,6,7,8,10,12,14,15,16,20,21,24,28,30,32,35,40,42,48,56,60,70,80,84,96,105,112,120,140,160,168,210,224,240,280,336,420,480,560,672,840,1120,1680,3360
Now, list down the factors of 4396
:1,2,4,7,14,28,157,314,628,1099,2198,4396
Greatest Common Factor
We found the factors 3360,4396 . The biggest common factor number is the GCF number.
So the greatest common factor 3360,4396 is 28.
Lets's calculate LCM of 533,6852
Given numbers has no common factors except 1. So, there LCM is their product i.e 3652116
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 28/3652116
Therefore, the GCF of Fractions 3360/533,4396/6852 is 28/3652116
Least Common Multiple of 533,6852 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 533,6852 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(533,6852) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(533,6852) x common factors =1 x 1 = 1
LCM(533,6852) = ( 533 × 6852 ) / 1
LCM(533,6852) = 3652116 / 1
LCM(533,6852) = 3652116
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FAQs on GCF of Fractions of 3360/533, 4396/6852
1. What is the HCF of 3360,4396?
The HCF of 3360,4396 is 28
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 3360/533, 4396/6852?
Answer: GCF of Numerators as per given numbers 3360/533, 4396/6852 is
GCF of Numerators i.e. for 3360,4396 is 28
LCM of denominators i.e. for 533,6852 is 3652116.
Thus, GCF of Fractions is 28/3652116.Finally, GCF of Fractions for 3360/533, 4396/6852 is 28/3652116.