GCF of 5513/506, 3360/6434
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5513/506, 3360/6434 i.e 1/1627802 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5513/506, 3360/6434.
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 5513/506,3360/6434?
Given fractions are 5513/506,3360/6434
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 5513/506,3360/6434, numerators are 5513,3360
Denominators are 506,6434
The GCF of 5513,3360 is 1 .
LCM of 506,6434 is 1627802.
The greatest common factor of 5513/506,3360/6434 = [GCF of 5513,3360]/[LCM of 506,6434]= 1/1627802
Therefore, the GCF of 5513/506,3360/6434 is 1/1627802.
To find the highest common factor of 5513,3360, we have to find the factors of both numbers and list the highest common factor.
The factors of 5513 are 1, 37, 149, 5513
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 HCF of 5513,3360 is 1.
Lets's calculate GCF of 5513,3360
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5513,3360 By Matching Biggest Common Factor Method
Now, list down the factors of 5513
:1,37,149,5513
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
Greatest Common Factor
We found the factors 5513,3360 . The biggest common factor number is the GCF number.
So the greatest common factor 5513,3360 is 1.
Lets's calculate LCM of 506,6434
| 2 | 506, 6434 |
| 253, 3217 |
∴ So the LCM of the given numbers is 2 x 253 x 3217 = 1627802
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1627802
Therefore, the GCF of Fractions 5513/506,3360/6434 is 1/1627802
Least Common Multiple of 506,6434 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 506,6434 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(506,6434) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(506,6434) x common factors =2 x 1 = 2
LCM(506,6434) = ( 506 × 6434 ) / 2
LCM(506,6434) = 3255604 / 2
LCM(506,6434) = 1627802
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FAQs on GCF of Fractions of 5513/506, 3360/6434
1. What is the HCF of 5513,3360?
The HCF of 5513,3360 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 5513/506, 3360/6434?
Answer: GCF of Numerators as per given numbers 5513/506, 3360/6434 is
GCF of Numerators i.e. for 5513,3360 is 1
LCM of denominators i.e. for 506,6434 is 1627802.
Thus, GCF of Fractions is 1/1627802.Finally, GCF of Fractions for 5513/506, 3360/6434 is 1/1627802.