GCF of 2828/267, 3808/841
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2828/267, 3808/841 i.e 28/224547 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2828/267, 3808/841.
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 2828/267,3808/841?
Given fractions are 2828/267,3808/841
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 2828/267,3808/841, numerators are 2828,3808
Denominators are 267,841
The GCF of 2828,3808 is 28 .
LCM of 267,841 is 224547.
The greatest common factor of 2828/267,3808/841 = [GCF of 2828,3808]/[LCM of 267,841]= 28/224547
Therefore, the GCF of 2828/267,3808/841 is 28/224547.
To find the highest common factor of 2828,3808, we have to find the factors of both numbers and list the highest common factor.
The factors of 2828 are 1, 2, 4, 7, 14, 28, 101, 202, 404, 707, 1414, 2828
The factors of 3808 are 1, 2, 4, 7, 8, 14, 16, 17, 28, 32, 34, 56, 68, 112, 119, 136, 224, 238, 272, 476, 544, 952, 1904, 3808
The HCF of 2828,3808 is 28.
Lets's calculate GCF of 2828,3808
| 2 | 2828, 3808 |
| 2 | 1414, 1904 |
| 7 | 707, 952 |
| 101, 136 |
∴ So the GCF of the given numbers is 2 x 2 x 7 = 28
Greatest Common Factor of 2828,3808 By Matching Biggest Common Factor Method
Now, list down the factors of 2828
:1,2,4,7,14,28,101,202,404,707,1414,2828
Now, list down the factors of 3808
:1,2,4,7,8,14,16,17,28,32,34,56,68,112,119,136,224,238,272,476,544,952,1904,3808
Greatest Common Factor
We found the factors 2828,3808 . The biggest common factor number is the GCF number.
So the greatest common factor 2828,3808 is 28.
Lets's calculate LCM of 267,841
Given numbers has no common factors except 1. So, there LCM is their product i.e 224547
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 28/224547
Therefore, the GCF of Fractions 2828/267,3808/841 is 28/224547
Least Common Multiple of 267,841 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 267,841 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(267,841) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(267,841) x common factors =1 x 1 = 1
LCM(267,841) = ( 267 × 841 ) / 1
LCM(267,841) = 224547 / 1
LCM(267,841) = 224547
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FAQs on GCF of Fractions of 2828/267, 3808/841
1. What is the HCF of 2828,3808?
The HCF of 2828,3808 is 28
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 2828/267, 3808/841?
Answer: GCF of Numerators as per given numbers 2828/267, 3808/841 is
GCF of Numerators i.e. for 2828,3808 is 28
LCM of denominators i.e. for 267,841 is 224547.
Thus, GCF of Fractions is 28/224547.Finally, GCF of Fractions for 2828/267, 3808/841 is 28/224547.