GCF of 4076/738, 6896/5472
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4076/738, 6896/5472 i.e 4/224352 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4076/738, 6896/5472.
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 4076/738,6896/5472?
Given fractions are 4076/738,6896/5472
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 4076/738,6896/5472, numerators are 4076,6896
Denominators are 738,5472
The GCF of 4076,6896 is 4 .
LCM of 738,5472 is 224352.
The greatest common factor of 4076/738,6896/5472 = [GCF of 4076,6896]/[LCM of 738,5472]= 4/224352
Therefore, the GCF of 4076/738,6896/5472 is 4/224352.
To find the highest common factor of 4076,6896, we have to find the factors of both numbers and list the highest common factor.
The factors of 4076 are 1, 2, 4, 1019, 2038, 4076
The factors of 6896 are 1, 2, 4, 8, 16, 431, 862, 1724, 3448, 6896
The HCF of 4076,6896 is 4.
Lets's calculate GCF of 4076,6896
| 2 | 4076, 6896 |
| 2 | 2038, 3448 |
| 1019, 1724 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 4076,6896 By Matching Biggest Common Factor Method
Now, list down the factors of 4076
:1,2,4,1019,2038,4076
Now, list down the factors of 6896
:1,2,4,8,16,431,862,1724,3448,6896
Greatest Common Factor
We found the factors 4076,6896 . The biggest common factor number is the GCF number.
So the greatest common factor 4076,6896 is 4.
Lets's calculate LCM of 738,5472
| 2 | 738, 5472 |
| 3 | 369, 2736 |
| 3 | 123, 912 |
| 41, 304 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 41 x 304 = 224352
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/224352
Therefore, the GCF of Fractions 4076/738,6896/5472 is 4/224352
Least Common Multiple of 738,5472 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 738,5472 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(738,5472) = 18
common factors(in case of two or more numbers have common factors) = 1
GCF(738,5472) x common factors =18 x 1 = 18
LCM(738,5472) = ( 738 × 5472 ) / 18
LCM(738,5472) = 4038336 / 18
LCM(738,5472) = 224352
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FAQs on GCF of Fractions of 4076/738, 6896/5472
1. What is the HCF of 4076,6896?
The HCF of 4076,6896 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 4076/738, 6896/5472?
Answer: GCF of Numerators as per given numbers 4076/738, 6896/5472 is
GCF of Numerators i.e. for 4076,6896 is 4
LCM of denominators i.e. for 738,5472 is 224352.
Thus, GCF of Fractions is 4/224352.Finally, GCF of Fractions for 4076/738, 6896/5472 is 4/224352.