GCF of 3290/602, 8300/646
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3290/602, 8300/646 i.e 10/194446 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3290/602, 8300/646.
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 3290/602,8300/646?
Given fractions are 3290/602,8300/646
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 3290/602,8300/646, numerators are 3290,8300
Denominators are 602,646
The GCF of 3290,8300 is 10 .
LCM of 602,646 is 194446.
The greatest common factor of 3290/602,8300/646 = [GCF of 3290,8300]/[LCM of 602,646]= 10/194446
Therefore, the GCF of 3290/602,8300/646 is 10/194446.
To find the highest common factor of 3290,8300, we have to find the factors of both numbers and list the highest common factor.
The factors of 3290 are 1, 2, 5, 7, 10, 14, 35, 47, 70, 94, 235, 329, 470, 658, 1645, 3290
The factors of 8300 are 1, 2, 4, 5, 10, 20, 25, 50, 83, 100, 166, 332, 415, 830, 1660, 2075, 4150, 8300
The HCF of 3290,8300 is 10.
Lets's calculate GCF of 3290,8300
| 2 | 3290, 8300 |
| 5 | 1645, 4150 |
| 329, 830 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 3290,8300 By Matching Biggest Common Factor Method
Now, list down the factors of 3290
:1,2,5,7,10,14,35,47,70,94,235,329,470,658,1645,3290
Now, list down the factors of 8300
:1,2,4,5,10,20,25,50,83,100,166,332,415,830,1660,2075,4150,8300
Greatest Common Factor
We found the factors 3290,8300 . The biggest common factor number is the GCF number.
So the greatest common factor 3290,8300 is 10.
Lets's calculate LCM of 602,646
| 2 | 602, 646 |
| 301, 323 |
∴ So the LCM of the given numbers is 2 x 301 x 323 = 194446
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/194446
Therefore, the GCF of Fractions 3290/602,8300/646 is 10/194446
Least Common Multiple of 602,646 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 602,646 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(602,646) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(602,646) x common factors =2 x 1 = 2
LCM(602,646) = ( 602 × 646 ) / 2
LCM(602,646) = 388892 / 2
LCM(602,646) = 194446
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FAQs on GCF of Fractions of 3290/602, 8300/646
1. What is the HCF of 3290,8300?
The HCF of 3290,8300 is 10
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 3290/602, 8300/646?
Answer: GCF of Numerators as per given numbers 3290/602, 8300/646 is
GCF of Numerators i.e. for 3290,8300 is 10
LCM of denominators i.e. for 602,646 is 194446.
Thus, GCF of Fractions is 10/194446.Finally, GCF of Fractions for 3290/602, 8300/646 is 10/194446.