GCF of 1546/770, 2130/7340
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1546/770, 2130/7340 i.e 2/565180 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1546/770, 2130/7340.
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 1546/770,2130/7340?
Given fractions are 1546/770,2130/7340
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 1546/770,2130/7340, numerators are 1546,2130
Denominators are 770,7340
The GCF of 1546,2130 is 2 .
LCM of 770,7340 is 565180.
The greatest common factor of 1546/770,2130/7340 = [GCF of 1546,2130]/[LCM of 770,7340]= 2/565180
Therefore, the GCF of 1546/770,2130/7340 is 2/565180.
To find the highest common factor of 1546,2130, we have to find the factors of both numbers and list the highest common factor.
The factors of 1546 are 1, 2, 773, 1546
The factors of 2130 are 1, 2, 3, 5, 6, 10, 15, 30, 71, 142, 213, 355, 426, 710, 1065, 2130
The HCF of 1546,2130 is 2.
Lets's calculate GCF of 1546,2130
| 2 | 1546, 2130 |
| 773, 1065 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1546,2130 By Matching Biggest Common Factor Method
Now, list down the factors of 1546
:1,2,773,1546
Now, list down the factors of 2130
:1,2,3,5,6,10,15,30,71,142,213,355,426,710,1065,2130
Greatest Common Factor
We found the factors 1546,2130 . The biggest common factor number is the GCF number.
So the greatest common factor 1546,2130 is 2.
Lets's calculate LCM of 770,7340
| 2 | 770, 7340 |
| 5 | 385, 3670 |
| 77, 734 |
∴ So the LCM of the given numbers is 2 x 5 x 77 x 734 = 565180
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/565180
Therefore, the GCF of Fractions 1546/770,2130/7340 is 2/565180
Least Common Multiple of 770,7340 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 770,7340 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(770,7340) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(770,7340) x common factors =10 x 1 = 10
LCM(770,7340) = ( 770 × 7340 ) / 10
LCM(770,7340) = 5651800 / 10
LCM(770,7340) = 565180
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FAQs on GCF of Fractions of 1546/770, 2130/7340
1. What is the HCF of 1546,2130?
The HCF of 1546,2130 is 2
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 1546/770, 2130/7340?
Answer: GCF of Numerators as per given numbers 1546/770, 2130/7340 is
GCF of Numerators i.e. for 1546,2130 is 2
LCM of denominators i.e. for 770,7340 is 565180.
Thus, GCF of Fractions is 2/565180.Finally, GCF of Fractions for 1546/770, 2130/7340 is 2/565180.