GCF of 1770/655, 7634/1984
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1770/655, 7634/1984 i.e 2/1299520 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1770/655, 7634/1984.
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 1770/655,7634/1984?
Given fractions are 1770/655,7634/1984
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 1770/655,7634/1984, numerators are 1770,7634
Denominators are 655,1984
The GCF of 1770,7634 is 2 .
LCM of 655,1984 is 1299520.
The greatest common factor of 1770/655,7634/1984 = [GCF of 1770,7634]/[LCM of 655,1984]= 2/1299520
Therefore, the GCF of 1770/655,7634/1984 is 2/1299520.
To find the highest common factor of 1770,7634, we have to find the factors of both numbers and list the highest common factor.
The factors of 1770 are 1, 2, 3, 5, 6, 10, 15, 30, 59, 118, 177, 295, 354, 590, 885, 1770
The factors of 7634 are 1, 2, 11, 22, 347, 694, 3817, 7634
The HCF of 1770,7634 is 2.
Lets's calculate GCF of 1770,7634
| 2 | 1770, 7634 |
| 885, 3817 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1770,7634 By Matching Biggest Common Factor Method
Now, list down the factors of 1770
:1,2,3,5,6,10,15,30,59,118,177,295,354,590,885,1770
Now, list down the factors of 7634
:1,2,11,22,347,694,3817,7634
Greatest Common Factor
We found the factors 1770,7634 . The biggest common factor number is the GCF number.
So the greatest common factor 1770,7634 is 2.
Lets's calculate LCM of 655,1984
Given numbers has no common factors except 1. So, there LCM is their product i.e 1299520
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1299520
Therefore, the GCF of Fractions 1770/655,7634/1984 is 2/1299520
Least Common Multiple of 655,1984 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 655,1984 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(655,1984) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(655,1984) x common factors =1 x 1 = 1
LCM(655,1984) = ( 655 × 1984 ) / 1
LCM(655,1984) = 1299520 / 1
LCM(655,1984) = 1299520
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FAQs on GCF of Fractions of 1770/655, 7634/1984
1. What is the HCF of 1770,7634?
The HCF of 1770,7634 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 1770/655, 7634/1984?
Answer: GCF of Numerators as per given numbers 1770/655, 7634/1984 is
GCF of Numerators i.e. for 1770,7634 is 2
LCM of denominators i.e. for 655,1984 is 1299520.
Thus, GCF of Fractions is 2/1299520.Finally, GCF of Fractions for 1770/655, 7634/1984 is 2/1299520.