GCF of 4927/354, 9120/830
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4927/354, 9120/830 i.e 1/146910 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4927/354, 9120/830.
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 4927/354,9120/830?
Given fractions are 4927/354,9120/830
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 4927/354,9120/830, numerators are 4927,9120
Denominators are 354,830
The GCF of 4927,9120 is 1 .
LCM of 354,830 is 146910.
The greatest common factor of 4927/354,9120/830 = [GCF of 4927,9120]/[LCM of 354,830]= 1/146910
Therefore, the GCF of 4927/354,9120/830 is 1/146910.
To find the highest common factor of 4927,9120, we have to find the factors of both numbers and list the highest common factor.
The factors of 4927 are 1, 13, 379, 4927
The factors of 9120 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 19, 20, 24, 30, 32, 38, 40, 48, 57, 60, 76, 80, 95, 96, 114, 120, 152, 160, 190, 228, 240, 285, 304, 380, 456, 480, 570, 608, 760, 912, 1140, 1520, 1824, 2280, 3040, 4560, 9120
The HCF of 4927,9120 is 1.
Lets's calculate GCF of 4927,9120
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4927,9120 By Matching Biggest Common Factor Method
Now, list down the factors of 4927
:1,13,379,4927
Now, list down the factors of 9120
:1,2,3,4,5,6,8,10,12,15,16,19,20,24,30,32,38,40,48,57,60,76,80,95,96,114,120,152,160,190,228,240,285,304,380,456,480,570,608,760,912,1140,1520,1824,2280,3040,4560,9120
Greatest Common Factor
We found the factors 4927,9120 . The biggest common factor number is the GCF number.
So the greatest common factor 4927,9120 is 1.
Lets's calculate LCM of 354,830
| 2 | 354, 830 |
| 177, 415 |
∴ So the LCM of the given numbers is 2 x 177 x 415 = 146910
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/146910
Therefore, the GCF of Fractions 4927/354,9120/830 is 1/146910
Least Common Multiple of 354,830 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 354,830 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(354,830) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(354,830) x common factors =2 x 1 = 2
LCM(354,830) = ( 354 × 830 ) / 2
LCM(354,830) = 293820 / 2
LCM(354,830) = 146910
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FAQs on GCF of Fractions of 4927/354, 9120/830
1. What is the HCF of 4927,9120?
The HCF of 4927,9120 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 4927/354, 9120/830?
Answer: GCF of Numerators as per given numbers 4927/354, 9120/830 is
GCF of Numerators i.e. for 4927,9120 is 1
LCM of denominators i.e. for 354,830 is 146910.
Thus, GCF of Fractions is 1/146910.Finally, GCF of Fractions for 4927/354, 9120/830 is 1/146910.