GCF of 6617/972, 6770/9118
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6617/972, 6770/9118 i.e 1/4431348 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6617/972, 6770/9118.
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 6617/972,6770/9118?
Given fractions are 6617/972,6770/9118
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 6617/972,6770/9118, numerators are 6617,6770
Denominators are 972,9118
The GCF of 6617,6770 is 1 .
LCM of 972,9118 is 4431348.
The greatest common factor of 6617/972,6770/9118 = [GCF of 6617,6770]/[LCM of 972,9118]= 1/4431348
Therefore, the GCF of 6617/972,6770/9118 is 1/4431348.
To find the highest common factor of 6617,6770, we have to find the factors of both numbers and list the highest common factor.
The factors of 6617 are 1, 13, 509, 6617
The factors of 6770 are 1, 2, 5, 10, 677, 1354, 3385, 6770
The HCF of 6617,6770 is 1.
Lets's calculate GCF of 6617,6770
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6617,6770 By Matching Biggest Common Factor Method
Now, list down the factors of 6617
:1,13,509,6617
Now, list down the factors of 6770
:1,2,5,10,677,1354,3385,6770
Greatest Common Factor
We found the factors 6617,6770 . The biggest common factor number is the GCF number.
So the greatest common factor 6617,6770 is 1.
Lets's calculate LCM of 972,9118
| 2 | 972, 9118 |
| 486, 4559 |
∴ So the LCM of the given numbers is 2 x 486 x 4559 = 4431348
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4431348
Therefore, the GCF of Fractions 6617/972,6770/9118 is 1/4431348
Least Common Multiple of 972,9118 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 972,9118 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(972,9118) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(972,9118) x common factors =2 x 1 = 2
LCM(972,9118) = ( 972 × 9118 ) / 2
LCM(972,9118) = 8862696 / 2
LCM(972,9118) = 4431348
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FAQs on GCF of Fractions of 6617/972, 6770/9118
1. What is the HCF of 6617,6770?
The HCF of 6617,6770 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 6617/972, 6770/9118?
Answer: GCF of Numerators as per given numbers 6617/972, 6770/9118 is
GCF of Numerators i.e. for 6617,6770 is 1
LCM of denominators i.e. for 972,9118 is 4431348.
Thus, GCF of Fractions is 1/4431348.Finally, GCF of Fractions for 6617/972, 6770/9118 is 1/4431348.