GCF of 760/110, 2783/932
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 760/110, 2783/932 i.e 1/51260 easily. The following is the detailed procedure to determine the greatest common factor of fractions 760/110, 2783/932.
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 760/110,2783/932?
Given fractions are 760/110,2783/932
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 760/110,2783/932, numerators are 760,2783
Denominators are 110,932
The GCF of 760,2783 is 1 .
LCM of 110,932 is 51260.
The greatest common factor of 760/110,2783/932 = [GCF of 760,2783]/[LCM of 110,932]= 1/51260
Therefore, the GCF of 760/110,2783/932 is 1/51260.
To find the highest common factor of 760,2783, we have to find the factors of both numbers and list the highest common factor.
The factors of 760 are 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
The factors of 2783 are 1, 11, 23, 121, 253, 2783
The HCF of 760,2783 is 1.
Lets's calculate GCF of 760,2783
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 760,2783 By Matching Biggest Common Factor Method
Now, list down the factors of 760
:1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760
Now, list down the factors of 2783
:1,11,23,121,253,2783
Greatest Common Factor
We found the factors 760,2783 . The biggest common factor number is the GCF number.
So the greatest common factor 760,2783 is 1.
Lets's calculate LCM of 110,932
| 2 | 110, 932 |
| 55, 466 |
∴ So the LCM of the given numbers is 2 x 55 x 466 = 51260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/51260
Therefore, the GCF of Fractions 760/110,2783/932 is 1/51260
Least Common Multiple of 110,932 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 110,932 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(110,932) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(110,932) x common factors =2 x 1 = 2
LCM(110,932) = ( 110 × 932 ) / 2
LCM(110,932) = 102520 / 2
LCM(110,932) = 51260
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FAQs on GCF of Fractions of 760/110, 2783/932
1. What is the HCF of 760,2783?
The HCF of 760,2783 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 760/110, 2783/932?
Answer: GCF of Numerators as per given numbers 760/110, 2783/932 is
GCF of Numerators i.e. for 760,2783 is 1
LCM of denominators i.e. for 110,932 is 51260.
Thus, GCF of Fractions is 1/51260.Finally, GCF of Fractions for 760/110, 2783/932 is 1/51260.