GCF of 3712/396, 6572/848
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3712/396, 6572/848 i.e 4/83952 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3712/396, 6572/848.
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 3712/396,6572/848?
Given fractions are 3712/396,6572/848
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 3712/396,6572/848, numerators are 3712,6572
Denominators are 396,848
The GCF of 3712,6572 is 4 .
LCM of 396,848 is 83952.
The greatest common factor of 3712/396,6572/848 = [GCF of 3712,6572]/[LCM of 396,848]= 4/83952
Therefore, the GCF of 3712/396,6572/848 is 4/83952.
To find the highest common factor of 3712,6572, we have to find the factors of both numbers and list the highest common factor.
The factors of 3712 are 1, 2, 4, 8, 16, 29, 32, 58, 64, 116, 128, 232, 464, 928, 1856, 3712
The factors of 6572 are 1, 2, 4, 31, 53, 62, 106, 124, 212, 1643, 3286, 6572
The HCF of 3712,6572 is 4.
Lets's calculate GCF of 3712,6572
| 2 | 3712, 6572 |
| 2 | 1856, 3286 |
| 928, 1643 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 3712,6572 By Matching Biggest Common Factor Method
Now, list down the factors of 3712
:1,2,4,8,16,29,32,58,64,116,128,232,464,928,1856,3712
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 3712,6572 . The biggest common factor number is the GCF number.
So the greatest common factor 3712,6572 is 4.
Lets's calculate LCM of 396,848
| 2 | 396, 848 |
| 2 | 198, 424 |
| 99, 212 |
∴ So the LCM of the given numbers is 2 x 2 x 99 x 212 = 83952
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/83952
Therefore, the GCF of Fractions 3712/396,6572/848 is 4/83952
Least Common Multiple of 396,848 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 396,848 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(396,848) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(396,848) x common factors =4 x 1 = 4
LCM(396,848) = ( 396 × 848 ) / 4
LCM(396,848) = 335808 / 4
LCM(396,848) = 83952
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FAQs on GCF of Fractions of 3712/396, 6572/848
1. What is the HCF of 3712,6572?
The HCF of 3712,6572 is 4
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 3712/396, 6572/848?
Answer: GCF of Numerators as per given numbers 3712/396, 6572/848 is
GCF of Numerators i.e. for 3712,6572 is 4
LCM of denominators i.e. for 396,848 is 83952.
Thus, GCF of Fractions is 4/83952.Finally, GCF of Fractions for 3712/396, 6572/848 is 4/83952.