GCF of 6354/333, 4970/8400
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6354/333, 4970/8400 i.e 2/932400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6354/333, 4970/8400.
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 6354/333,4970/8400?
Given fractions are 6354/333,4970/8400
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 6354/333,4970/8400, numerators are 6354,4970
Denominators are 333,8400
The GCF of 6354,4970 is 2 .
LCM of 333,8400 is 932400.
The greatest common factor of 6354/333,4970/8400 = [GCF of 6354,4970]/[LCM of 333,8400]= 2/932400
Therefore, the GCF of 6354/333,4970/8400 is 2/932400.
To find the highest common factor of 6354,4970, we have to find the factors of both numbers and list the highest common factor.
The factors of 6354 are 1, 2, 3, 6, 9, 18, 353, 706, 1059, 2118, 3177, 6354
The factors of 4970 are 1, 2, 5, 7, 10, 14, 35, 70, 71, 142, 355, 497, 710, 994, 2485, 4970
The HCF of 6354,4970 is 2.
Lets's calculate GCF of 6354,4970
| 2 | 6354, 4970 |
| 3177, 2485 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6354,4970 By Matching Biggest Common Factor Method
Now, list down the factors of 6354
:1,2,3,6,9,18,353,706,1059,2118,3177,6354
Now, list down the factors of 4970
:1,2,5,7,10,14,35,70,71,142,355,497,710,994,2485,4970
Greatest Common Factor
We found the factors 6354,4970 . The biggest common factor number is the GCF number.
So the greatest common factor 6354,4970 is 2.
Lets's calculate LCM of 333,8400
| 3 | 333, 8400 |
| 111, 2800 |
∴ So the LCM of the given numbers is 3 x 111 x 2800 = 932400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/932400
Therefore, the GCF of Fractions 6354/333,4970/8400 is 2/932400
Least Common Multiple of 333,8400 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 333,8400 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(333,8400) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(333,8400) x common factors =3 x 1 = 3
LCM(333,8400) = ( 333 × 8400 ) / 3
LCM(333,8400) = 2797200 / 3
LCM(333,8400) = 932400
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FAQs on GCF of Fractions of 6354/333, 4970/8400
1. What is the HCF of 6354,4970?
The HCF of 6354,4970 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 6354/333, 4970/8400?
Answer: GCF of Numerators as per given numbers 6354/333, 4970/8400 is
GCF of Numerators i.e. for 6354,4970 is 2
LCM of denominators i.e. for 333,8400 is 932400.
Thus, GCF of Fractions is 2/932400.Finally, GCF of Fractions for 6354/333, 4970/8400 is 2/932400.