GCF of 1596/476, 6802/385
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1596/476, 6802/385 i.e 38/26180 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1596/476, 6802/385.
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 1596/476,6802/385?
Given fractions are 1596/476,6802/385
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 1596/476,6802/385, numerators are 1596,6802
Denominators are 476,385
The GCF of 1596,6802 is 38 .
LCM of 476,385 is 26180.
The greatest common factor of 1596/476,6802/385 = [GCF of 1596,6802]/[LCM of 476,385]= 38/26180
Therefore, the GCF of 1596/476,6802/385 is 38/26180.
To find the highest common factor of 1596,6802, we have to find the factors of both numbers and list the highest common factor.
The factors of 1596 are 1, 2, 3, 4, 6, 7, 12, 14, 19, 21, 28, 38, 42, 57, 76, 84, 114, 133, 228, 266, 399, 532, 798, 1596
The factors of 6802 are 1, 2, 19, 38, 179, 358, 3401, 6802
The HCF of 1596,6802 is 38.
Lets's calculate GCF of 1596,6802
| 2 | 1596, 6802 |
| 19 | 798, 3401 |
| 42, 179 |
∴ So the GCF of the given numbers is 2 x 19 = 38
Greatest Common Factor of 1596,6802 By Matching Biggest Common Factor Method
Now, list down the factors of 1596
:1,2,3,4,6,7,12,14,19,21,28,38,42,57,76,84,114,133,228,266,399,532,798,1596
Now, list down the factors of 6802
:1,2,19,38,179,358,3401,6802
Greatest Common Factor
We found the factors 1596,6802 . The biggest common factor number is the GCF number.
So the greatest common factor 1596,6802 is 38.
Lets's calculate LCM of 476,385
| 7 | 476, 385 |
| 68, 55 |
∴ So the LCM of the given numbers is 7 x 68 x 55 = 26180
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 38/26180
Therefore, the GCF of Fractions 1596/476,6802/385 is 38/26180
Least Common Multiple of 476,385 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 476,385 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(476,385) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(476,385) x common factors =7 x 1 = 7
LCM(476,385) = ( 476 × 385 ) / 7
LCM(476,385) = 183260 / 7
LCM(476,385) = 26180
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FAQs on GCF of Fractions of 1596/476, 6802/385
1. What is the HCF of 1596,6802?
The HCF of 1596,6802 is 38
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 1596/476, 6802/385?
Answer: GCF of Numerators as per given numbers 1596/476, 6802/385 is
GCF of Numerators i.e. for 1596,6802 is 38
LCM of denominators i.e. for 476,385 is 26180.
Thus, GCF of Fractions is 38/26180.Finally, GCF of Fractions for 1596/476, 6802/385 is 38/26180.