GCF of 696/306, 3208/3468
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 696/306, 3208/3468 i.e 8/10404 easily. The following is the detailed procedure to determine the greatest common factor of fractions 696/306, 3208/3468.
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 696/306,3208/3468?
Given fractions are 696/306,3208/3468
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 696/306,3208/3468, numerators are 696,3208
Denominators are 306,3468
The GCF of 696,3208 is 8 .
LCM of 306,3468 is 10404.
The greatest common factor of 696/306,3208/3468 = [GCF of 696,3208]/[LCM of 306,3468]= 8/10404
Therefore, the GCF of 696/306,3208/3468 is 8/10404.
To find the highest common factor of 696,3208, we have to find the factors of both numbers and list the highest common factor.
The factors of 696 are 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
The factors of 3208 are 1, 2, 4, 8, 401, 802, 1604, 3208
The HCF of 696,3208 is 8.
Lets's calculate GCF of 696,3208
| 2 | 696, 3208 |
| 2 | 348, 1604 |
| 2 | 174, 802 |
| 87, 401 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 696,3208 By Matching Biggest Common Factor Method
Now, list down the factors of 696
:1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696
Now, list down the factors of 3208
:1,2,4,8,401,802,1604,3208
Greatest Common Factor
We found the factors 696,3208 . The biggest common factor number is the GCF number.
So the greatest common factor 696,3208 is 8.
Lets's calculate LCM of 306,3468
| 2 | 306, 3468 |
| 3 | 153, 1734 |
| 17 | 51, 578 |
| 3, 34 |
∴ So the LCM of the given numbers is 2 x 3 x 17 x 3 x 34 = 10404
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/10404
Therefore, the GCF of Fractions 696/306,3208/3468 is 8/10404
Least Common Multiple of 306,3468 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 306,3468 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(306,3468) = 102
common factors(in case of two or more numbers have common factors) = 1
GCF(306,3468) x common factors =102 x 1 = 102
LCM(306,3468) = ( 306 × 3468 ) / 102
LCM(306,3468) = 1061208 / 102
LCM(306,3468) = 10404
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FAQs on GCF of Fractions of 696/306, 3208/3468
1. What is the HCF of 696,3208?
The HCF of 696,3208 is 8
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 696/306, 3208/3468?
Answer: GCF of Numerators as per given numbers 696/306, 3208/3468 is
GCF of Numerators i.e. for 696,3208 is 8
LCM of denominators i.e. for 306,3468 is 10404.
Thus, GCF of Fractions is 8/10404.Finally, GCF of Fractions for 696/306, 3208/3468 is 8/10404.