GCF of 6770/655, 1978/4415
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6770/655, 1978/4415 i.e 2/578365 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6770/655, 1978/4415.
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 6770/655,1978/4415?
Given fractions are 6770/655,1978/4415
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 6770/655,1978/4415, numerators are 6770,1978
Denominators are 655,4415
The GCF of 6770,1978 is 2 .
LCM of 655,4415 is 578365.
The greatest common factor of 6770/655,1978/4415 = [GCF of 6770,1978]/[LCM of 655,4415]= 2/578365
Therefore, the GCF of 6770/655,1978/4415 is 2/578365.
To find the highest common factor of 6770,1978, we have to find the factors of both numbers and list the highest common factor.
The factors of 6770 are 1, 2, 5, 10, 677, 1354, 3385, 6770
The factors of 1978 are 1, 2, 23, 43, 46, 86, 989, 1978
The HCF of 6770,1978 is 2.
Lets's calculate GCF of 6770,1978
| 2 | 6770, 1978 |
| 3385, 989 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6770,1978 By Matching Biggest Common Factor Method
Now, list down the factors of 6770
:1,2,5,10,677,1354,3385,6770
Now, list down the factors of 1978
:1,2,23,43,46,86,989,1978
Greatest Common Factor
We found the factors 6770,1978 . The biggest common factor number is the GCF number.
So the greatest common factor 6770,1978 is 2.
Lets's calculate LCM of 655,4415
| 5 | 655, 4415 |
| 131, 883 |
∴ So the LCM of the given numbers is 5 x 131 x 883 = 578365
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/578365
Therefore, the GCF of Fractions 6770/655,1978/4415 is 2/578365
Least Common Multiple of 655,4415 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 655,4415 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(655,4415) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(655,4415) x common factors =5 x 1 = 5
LCM(655,4415) = ( 655 × 4415 ) / 5
LCM(655,4415) = 2891825 / 5
LCM(655,4415) = 578365
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FAQs on GCF of Fractions of 6770/655, 1978/4415
1. What is the HCF of 6770,1978?
The HCF of 6770,1978 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 6770/655, 1978/4415?
Answer: GCF of Numerators as per given numbers 6770/655, 1978/4415 is
GCF of Numerators i.e. for 6770,1978 is 2
LCM of denominators i.e. for 655,4415 is 578365.
Thus, GCF of Fractions is 2/578365.Finally, GCF of Fractions for 6770/655, 1978/4415 is 2/578365.