GCF of 7840/132, 5872/965
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7840/132, 5872/965 i.e 16/127380 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7840/132, 5872/965.
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 7840/132,5872/965?
Given fractions are 7840/132,5872/965
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 7840/132,5872/965, numerators are 7840,5872
Denominators are 132,965
The GCF of 7840,5872 is 16 .
LCM of 132,965 is 127380.
The greatest common factor of 7840/132,5872/965 = [GCF of 7840,5872]/[LCM of 132,965]= 16/127380
Therefore, the GCF of 7840/132,5872/965 is 16/127380.
To find the highest common factor of 7840,5872, we have to find the factors of both numbers and list the highest common factor.
The factors of 7840 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 49, 56, 70, 80, 98, 112, 140, 160, 196, 224, 245, 280, 392, 490, 560, 784, 980, 1120, 1568, 1960, 3920, 7840
The factors of 5872 are 1, 2, 4, 8, 16, 367, 734, 1468, 2936, 5872
The HCF of 7840,5872 is 16.
Lets's calculate GCF of 7840,5872
| 2 | 7840, 5872 |
| 2 | 3920, 2936 |
| 2 | 1960, 1468 |
| 2 | 980, 734 |
| 490, 367 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 7840,5872 By Matching Biggest Common Factor Method
Now, list down the factors of 7840
:1,2,4,5,7,8,10,14,16,20,28,32,35,40,49,56,70,80,98,112,140,160,196,224,245,280,392,490,560,784,980,1120,1568,1960,3920,7840
Now, list down the factors of 5872
:1,2,4,8,16,367,734,1468,2936,5872
Greatest Common Factor
We found the factors 7840,5872 . The biggest common factor number is the GCF number.
So the greatest common factor 7840,5872 is 16.
Lets's calculate LCM of 132,965
Given numbers has no common factors except 1. So, there LCM is their product i.e 127380
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/127380
Therefore, the GCF of Fractions 7840/132,5872/965 is 16/127380
Least Common Multiple of 132,965 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 132,965 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(132,965) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(132,965) x common factors =1 x 1 = 1
LCM(132,965) = ( 132 × 965 ) / 1
LCM(132,965) = 127380 / 1
LCM(132,965) = 127380
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FAQs on GCF of Fractions of 7840/132, 5872/965
1. What is the HCF of 7840,5872?
The HCF of 7840,5872 is 16
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 7840/132, 5872/965?
Answer: GCF of Numerators as per given numbers 7840/132, 5872/965 is
GCF of Numerators i.e. for 7840,5872 is 16
LCM of denominators i.e. for 132,965 is 127380.
Thus, GCF of Fractions is 16/127380.Finally, GCF of Fractions for 7840/132, 5872/965 is 16/127380.