GCF of 2744/725, 3088/5765
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2744/725, 3088/5765 i.e 8/835925 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2744/725, 3088/5765.
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 2744/725,3088/5765?
Given fractions are 2744/725,3088/5765
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 2744/725,3088/5765, numerators are 2744,3088
Denominators are 725,5765
The GCF of 2744,3088 is 8 .
LCM of 725,5765 is 835925.
The greatest common factor of 2744/725,3088/5765 = [GCF of 2744,3088]/[LCM of 725,5765]= 8/835925
Therefore, the GCF of 2744/725,3088/5765 is 8/835925.
To find the highest common factor of 2744,3088, we have to find the factors of both numbers and list the highest common factor.
The factors of 2744 are 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 343, 392, 686, 1372, 2744
The factors of 3088 are 1, 2, 4, 8, 16, 193, 386, 772, 1544, 3088
The HCF of 2744,3088 is 8.
Lets's calculate GCF of 2744,3088
| 2 | 2744, 3088 |
| 2 | 1372, 1544 |
| 2 | 686, 772 |
| 343, 386 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 2744,3088 By Matching Biggest Common Factor Method
Now, list down the factors of 2744
:1,2,4,7,8,14,28,49,56,98,196,343,392,686,1372,2744
Now, list down the factors of 3088
:1,2,4,8,16,193,386,772,1544,3088
Greatest Common Factor
We found the factors 2744,3088 . The biggest common factor number is the GCF number.
So the greatest common factor 2744,3088 is 8.
Lets's calculate LCM of 725,5765
| 5 | 725, 5765 |
| 145, 1153 |
∴ So the LCM of the given numbers is 5 x 145 x 1153 = 835925
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/835925
Therefore, the GCF of Fractions 2744/725,3088/5765 is 8/835925
Least Common Multiple of 725,5765 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 725,5765 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(725,5765) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(725,5765) x common factors =5 x 1 = 5
LCM(725,5765) = ( 725 × 5765 ) / 5
LCM(725,5765) = 4179625 / 5
LCM(725,5765) = 835925
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FAQs on GCF of Fractions of 2744/725, 3088/5765
1. What is the HCF of 2744,3088?
The HCF of 2744,3088 is 8
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 2744/725, 3088/5765?
Answer: GCF of Numerators as per given numbers 2744/725, 3088/5765 is
GCF of Numerators i.e. for 2744,3088 is 8
LCM of denominators i.e. for 725,5765 is 835925.
Thus, GCF of Fractions is 8/835925.Finally, GCF of Fractions for 2744/725, 3088/5765 is 8/835925.