GCF of 6996/838, 6572/3218
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6996/838, 6572/3218 i.e 212/1348342 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6996/838, 6572/3218.
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Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 6996/838,6572/3218?
Given fractions are 6996/838,6572/3218
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 6996/838,6572/3218, numerators are 6996,6572
Denominators are 838,3218
The GCF of 6996,6572 is 212 .
LCM of 838,3218 is 1348342.
The greatest common factor of 6996/838,6572/3218 = [GCF of 6996,6572]/[LCM of 838,3218]= 212/1348342
Therefore, the GCF of 6996/838,6572/3218 is 212/1348342.
To find the highest common factor of 6996,6572, we have to find the factors of both numbers and list the highest common factor.
The factors of 6996 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 53, 66, 106, 132, 159, 212, 318, 583, 636, 1166, 1749, 2332, 3498, 6996
The factors of 6572 are 1, 2, 4, 31, 53, 62, 106, 124, 212, 1643, 3286, 6572
The HCF of 6996,6572 is 212.
Lets's calculate GCF of 6996,6572
| 2 | 6996, 6572 |
| 2 | 3498, 3286 |
| 53 | 1749, 1643 |
| 33, 31 |
∴ So the GCF of the given numbers is 2 x 2 x 53 = 212
Greatest Common Factor of 6996,6572 By Matching Biggest Common Factor Method
Now, list down the factors of 6996
:1,2,3,4,6,11,12,22,33,44,53,66,106,132,159,212,318,583,636,1166,1749,2332,3498,6996
Now, list down the factors of 6572
:1,2,4,31,53,62,106,124,212,1643,3286,6572
Greatest Common Factor
We found the factors 6996,6572 . The biggest common factor number is the GCF number.
So the greatest common factor 6996,6572 is 212.
Lets's calculate LCM of 838,3218
| 2 | 838, 3218 |
| 419, 1609 |
∴ So the LCM of the given numbers is 2 x 419 x 1609 = 1348342
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 212/1348342
Therefore, the GCF of Fractions 6996/838,6572/3218 is 212/1348342
Least Common Multiple of 838,3218 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 838,3218 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(838,3218) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(838,3218) x common factors =2 x 1 = 2
LCM(838,3218) = ( 838 × 3218 ) / 2
LCM(838,3218) = 2696684 / 2
LCM(838,3218) = 1348342
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FAQs on GCF of Fractions of 6996/838, 6572/3218
1. What is the HCF of 6996,6572?
The HCF of 6996,6572 is 212
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 6996/838, 6572/3218?
Answer: GCF of Numerators as per given numbers 6996/838, 6572/3218 is
GCF of Numerators i.e. for 6996,6572 is 212
LCM of denominators i.e. for 838,3218 is 1348342.
Thus, GCF of Fractions is 212/1348342.Finally, GCF of Fractions for 6996/838, 6572/3218 is 212/1348342.