GCF of 1352/269, 3076/4255
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1352/269, 3076/4255 i.e 4/1144595 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1352/269, 3076/4255.
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 1352/269,3076/4255?
Given fractions are 1352/269,3076/4255
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 1352/269,3076/4255, numerators are 1352,3076
Denominators are 269,4255
The GCF of 1352,3076 is 4 .
LCM of 269,4255 is 1144595.
The greatest common factor of 1352/269,3076/4255 = [GCF of 1352,3076]/[LCM of 269,4255]= 4/1144595
Therefore, the GCF of 1352/269,3076/4255 is 4/1144595.
To find the highest common factor of 1352,3076, we have to find the factors of both numbers and list the highest common factor.
The factors of 1352 are 1, 2, 4, 8, 13, 26, 52, 104, 169, 338, 676, 1352
The factors of 3076 are 1, 2, 4, 769, 1538, 3076
The HCF of 1352,3076 is 4.
Lets's calculate GCF of 1352,3076
| 2 | 1352, 3076 |
| 2 | 676, 1538 |
| 338, 769 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 1352,3076 By Matching Biggest Common Factor Method
Now, list down the factors of 1352
:1,2,4,8,13,26,52,104,169,338,676,1352
Now, list down the factors of 3076
:1,2,4,769,1538,3076
Greatest Common Factor
We found the factors 1352,3076 . The biggest common factor number is the GCF number.
So the greatest common factor 1352,3076 is 4.
Lets's calculate LCM of 269,4255
Given numbers has no common factors except 1. So, there LCM is their product i.e 1144595
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1144595
Therefore, the GCF of Fractions 1352/269,3076/4255 is 4/1144595
Least Common Multiple of 269,4255 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 269,4255 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(269,4255) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(269,4255) x common factors =1 x 1 = 1
LCM(269,4255) = ( 269 × 4255 ) / 1
LCM(269,4255) = 1144595 / 1
LCM(269,4255) = 1144595
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FAQs on GCF of Fractions of 1352/269, 3076/4255
1. What is the HCF of 1352,3076?
The HCF of 1352,3076 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 1352/269, 3076/4255?
Answer: GCF of Numerators as per given numbers 1352/269, 3076/4255 is
GCF of Numerators i.e. for 1352,3076 is 4
LCM of denominators i.e. for 269,4255 is 1144595.
Thus, GCF of Fractions is 4/1144595.Finally, GCF of Fractions for 1352/269, 3076/4255 is 4/1144595.