GCF of 6674/778, 8412/3824
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6674/778, 8412/3824 i.e 2/1487536 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6674/778, 8412/3824.
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 6674/778,8412/3824?
Given fractions are 6674/778,8412/3824
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 6674/778,8412/3824, numerators are 6674,8412
Denominators are 778,3824
The GCF of 6674,8412 is 2 .
LCM of 778,3824 is 1487536.
The greatest common factor of 6674/778,8412/3824 = [GCF of 6674,8412]/[LCM of 778,3824]= 2/1487536
Therefore, the GCF of 6674/778,8412/3824 is 2/1487536.
To find the highest common factor of 6674,8412, we have to find the factors of both numbers and list the highest common factor.
The factors of 6674 are 1, 2, 47, 71, 94, 142, 3337, 6674
The factors of 8412 are 1, 2, 3, 4, 6, 12, 701, 1402, 2103, 2804, 4206, 8412
The HCF of 6674,8412 is 2.
Lets's calculate GCF of 6674,8412
| 2 | 6674, 8412 |
| 3337, 4206 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6674,8412 By Matching Biggest Common Factor Method
Now, list down the factors of 6674
:1,2,47,71,94,142,3337,6674
Now, list down the factors of 8412
:1,2,3,4,6,12,701,1402,2103,2804,4206,8412
Greatest Common Factor
We found the factors 6674,8412 . The biggest common factor number is the GCF number.
So the greatest common factor 6674,8412 is 2.
Lets's calculate LCM of 778,3824
| 2 | 778, 3824 |
| 389, 1912 |
∴ So the LCM of the given numbers is 2 x 389 x 1912 = 1487536
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1487536
Therefore, the GCF of Fractions 6674/778,8412/3824 is 2/1487536
Least Common Multiple of 778,3824 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 778,3824 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(778,3824) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(778,3824) x common factors =2 x 1 = 2
LCM(778,3824) = ( 778 × 3824 ) / 2
LCM(778,3824) = 2975072 / 2
LCM(778,3824) = 1487536
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FAQs on GCF of Fractions of 6674/778, 8412/3824
1. What is the HCF of 6674,8412?
The HCF of 6674,8412 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 6674/778, 8412/3824?
Answer: GCF of Numerators as per given numbers 6674/778, 8412/3824 is
GCF of Numerators i.e. for 6674,8412 is 2
LCM of denominators i.e. for 778,3824 is 1487536.
Thus, GCF of Fractions is 2/1487536.Finally, GCF of Fractions for 6674/778, 8412/3824 is 2/1487536.