GCF of 6346/485, 3072/6971
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6346/485, 3072/6971 i.e 2/3380935 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6346/485, 3072/6971.
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 6346/485,3072/6971?
Given fractions are 6346/485,3072/6971
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 6346/485,3072/6971, numerators are 6346,3072
Denominators are 485,6971
The GCF of 6346,3072 is 2 .
LCM of 485,6971 is 3380935.
The greatest common factor of 6346/485,3072/6971 = [GCF of 6346,3072]/[LCM of 485,6971]= 2/3380935
Therefore, the GCF of 6346/485,3072/6971 is 2/3380935.
To find the highest common factor of 6346,3072, we have to find the factors of both numbers and list the highest common factor.
The factors of 6346 are 1, 2, 19, 38, 167, 334, 3173, 6346
The factors of 3072 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 512, 768, 1024, 1536, 3072
The HCF of 6346,3072 is 2.
Lets's calculate GCF of 6346,3072
| 2 | 6346, 3072 |
| 3173, 1536 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6346,3072 By Matching Biggest Common Factor Method
Now, list down the factors of 6346
:1,2,19,38,167,334,3173,6346
Now, list down the factors of 3072
:1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,512,768,1024,1536,3072
Greatest Common Factor
We found the factors 6346,3072 . The biggest common factor number is the GCF number.
So the greatest common factor 6346,3072 is 2.
Lets's calculate LCM of 485,6971
Given numbers has no common factors except 1. So, there LCM is their product i.e 3380935
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3380935
Therefore, the GCF of Fractions 6346/485,3072/6971 is 2/3380935
Least Common Multiple of 485,6971 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 485,6971 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(485,6971) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(485,6971) x common factors =1 x 1 = 1
LCM(485,6971) = ( 485 × 6971 ) / 1
LCM(485,6971) = 3380935 / 1
LCM(485,6971) = 3380935
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FAQs on GCF of Fractions of 6346/485, 3072/6971
1. What is the HCF of 6346,3072?
The HCF of 6346,3072 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 6346/485, 3072/6971?
Answer: GCF of Numerators as per given numbers 6346/485, 3072/6971 is
GCF of Numerators i.e. for 6346,3072 is 2
LCM of denominators i.e. for 485,6971 is 3380935.
Thus, GCF of Fractions is 2/3380935.Finally, GCF of Fractions for 6346/485, 3072/6971 is 2/3380935.