GCF of 1092/472, 5745/628
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1092/472, 5745/628 i.e 3/74104 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1092/472, 5745/628.
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 1092/472,5745/628?
Given fractions are 1092/472,5745/628
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 1092/472,5745/628, numerators are 1092,5745
Denominators are 472,628
The GCF of 1092,5745 is 3 .
LCM of 472,628 is 74104.
The greatest common factor of 1092/472,5745/628 = [GCF of 1092,5745]/[LCM of 472,628]= 3/74104
Therefore, the GCF of 1092/472,5745/628 is 3/74104.
To find the highest common factor of 1092,5745, we have to find the factors of both numbers and list the highest common factor.
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 factors of 5745 are 1, 3, 5, 15, 383, 1149, 1915, 5745
The HCF of 1092,5745 is 3.
Lets's calculate GCF of 1092,5745
| 3 | 1092, 5745 |
| 364, 1915 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1092,5745 By Matching Biggest Common Factor Method
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
Now, list down the factors of 5745
:1,3,5,15,383,1149,1915,5745
Greatest Common Factor
We found the factors 1092,5745 . The biggest common factor number is the GCF number.
So the greatest common factor 1092,5745 is 3.
Lets's calculate LCM of 472,628
| 2 | 472, 628 |
| 2 | 236, 314 |
| 118, 157 |
∴ So the LCM of the given numbers is 2 x 2 x 118 x 157 = 74104
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/74104
Therefore, the GCF of Fractions 1092/472,5745/628 is 3/74104
Least Common Multiple of 472,628 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 472,628 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(472,628) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(472,628) x common factors =4 x 1 = 4
LCM(472,628) = ( 472 × 628 ) / 4
LCM(472,628) = 296416 / 4
LCM(472,628) = 74104
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FAQs on GCF of Fractions of 1092/472, 5745/628
1. What is the HCF of 1092,5745?
The HCF of 1092,5745 is 3
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 1092/472, 5745/628?
Answer: GCF of Numerators as per given numbers 1092/472, 5745/628 is
GCF of Numerators i.e. for 1092,5745 is 3
LCM of denominators i.e. for 472,628 is 74104.
Thus, GCF of Fractions is 3/74104.Finally, GCF of Fractions for 1092/472, 5745/628 is 3/74104.