GCF of 1130/783, 9283/7743
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1130/783, 9283/7743 i.e 1/69687 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1130/783, 9283/7743.
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 1130/783,9283/7743?
Given fractions are 1130/783,9283/7743
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 1130/783,9283/7743, numerators are 1130,9283
Denominators are 783,7743
The GCF of 1130,9283 is 1 .
LCM of 783,7743 is 69687.
The greatest common factor of 1130/783,9283/7743 = [GCF of 1130,9283]/[LCM of 783,7743]= 1/69687
Therefore, the GCF of 1130/783,9283/7743 is 1/69687.
To find the highest common factor of 1130,9283, we have to find the factors of both numbers and list the highest common factor.
The factors of 1130 are 1, 2, 5, 10, 113, 226, 565, 1130
The factors of 9283 are 1, 9283
The HCF of 1130,9283 is 1.
Lets's calculate GCF of 1130,9283
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1130,9283 By Matching Biggest Common Factor Method
Now, list down the factors of 1130
:1,2,5,10,113,226,565,1130
Now, list down the factors of 9283
:1,9283
Greatest Common Factor
We found the factors 1130,9283 . The biggest common factor number is the GCF number.
So the greatest common factor 1130,9283 is 1.
Lets's calculate LCM of 783,7743
| 3 | 783, 7743 |
| 29 | 261, 2581 |
| 9, 89 |
∴ So the LCM of the given numbers is 3 x 29 x 9 x 89 = 69687
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/69687
Therefore, the GCF of Fractions 1130/783,9283/7743 is 1/69687
Least Common Multiple of 783,7743 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 783,7743 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(783,7743) = 87
common factors(in case of two or more numbers have common factors) = 1
GCF(783,7743) x common factors =87 x 1 = 87
LCM(783,7743) = ( 783 × 7743 ) / 87
LCM(783,7743) = 6062769 / 87
LCM(783,7743) = 69687
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 1130/783, 9283/7743
1. What is the HCF of 1130,9283?
The HCF of 1130,9283 is 1
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 1130/783, 9283/7743?
Answer: GCF of Numerators as per given numbers 1130/783, 9283/7743 is
GCF of Numerators i.e. for 1130,9283 is 1
LCM of denominators i.e. for 783,7743 is 69687.
Thus, GCF of Fractions is 1/69687.Finally, GCF of Fractions for 1130/783, 9283/7743 is 1/69687.