GCF of 7783/270, 1092/5182
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7783/270, 1092/5182 i.e 1/699570 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7783/270, 1092/5182.
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 7783/270,1092/5182?
Given fractions are 7783/270,1092/5182
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 7783/270,1092/5182, numerators are 7783,1092
Denominators are 270,5182
The GCF of 7783,1092 is 1 .
LCM of 270,5182 is 699570.
The greatest common factor of 7783/270,1092/5182 = [GCF of 7783,1092]/[LCM of 270,5182]= 1/699570
Therefore, the GCF of 7783/270,1092/5182 is 1/699570.
To find the highest common factor of 7783,1092, we have to find the factors of both numbers and list the highest common factor.
The factors of 7783 are 1, 43, 181, 7783
The factors of 1092 are 1, 2, 3, 4, 6, 7, 12, 13, 14, 21, 26, 28, 39, 42, 52, 78, 84, 91, 156, 182, 273, 364, 546, 1092
The HCF of 7783,1092 is 1.
Lets's calculate GCF of 7783,1092
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7783,1092 By Matching Biggest Common Factor Method
Now, list down the factors of 7783
:1,43,181,7783
Now, list down the factors of 1092
:1,2,3,4,6,7,12,13,14,21,26,28,39,42,52,78,84,91,156,182,273,364,546,1092
Greatest Common Factor
We found the factors 7783,1092 . The biggest common factor number is the GCF number.
So the greatest common factor 7783,1092 is 1.
Lets's calculate LCM of 270,5182
| 2 | 270, 5182 |
| 135, 2591 |
∴ So the LCM of the given numbers is 2 x 135 x 2591 = 699570
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/699570
Therefore, the GCF of Fractions 7783/270,1092/5182 is 1/699570
Least Common Multiple of 270,5182 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 270,5182 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(270,5182) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(270,5182) x common factors =2 x 1 = 2
LCM(270,5182) = ( 270 × 5182 ) / 2
LCM(270,5182) = 1399140 / 2
LCM(270,5182) = 699570
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FAQs on GCF of Fractions of 7783/270, 1092/5182
1. What is the HCF of 7783,1092?
The HCF of 7783,1092 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 7783/270, 1092/5182?
Answer: GCF of Numerators as per given numbers 7783/270, 1092/5182 is
GCF of Numerators i.e. for 7783,1092 is 1
LCM of denominators i.e. for 270,5182 is 699570.
Thus, GCF of Fractions is 1/699570.Finally, GCF of Fractions for 7783/270, 1092/5182 is 1/699570.