GCF of 770/660, 7029/345
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 770/660, 7029/345 i.e 11/15180 easily. The following is the detailed procedure to determine the greatest common factor of fractions 770/660, 7029/345.
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 770/660,7029/345?
Given fractions are 770/660,7029/345
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 770/660,7029/345, numerators are 770,7029
Denominators are 660,345
The GCF of 770,7029 is 11 .
LCM of 660,345 is 15180.
The greatest common factor of 770/660,7029/345 = [GCF of 770,7029]/[LCM of 660,345]= 11/15180
Therefore, the GCF of 770/660,7029/345 is 11/15180.
To find the highest common factor of 770,7029, we have to find the factors of both numbers and list the highest common factor.
The factors of 770 are 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
The factors of 7029 are 1, 3, 9, 11, 33, 71, 99, 213, 639, 781, 2343, 7029
The HCF of 770,7029 is 11.
Lets's calculate GCF of 770,7029
| 11 | 770, 7029 |
| 70, 639 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 770,7029 By Matching Biggest Common Factor Method
Now, list down the factors of 770
:1,2,5,7,10,11,14,22,35,55,70,77,110,154,385,770
Now, list down the factors of 7029
:1,3,9,11,33,71,99,213,639,781,2343,7029
Greatest Common Factor
We found the factors 770,7029 . The biggest common factor number is the GCF number.
So the greatest common factor 770,7029 is 11.
Lets's calculate LCM of 660,345
| 3 | 660, 345 |
| 5 | 220, 115 |
| 44, 23 |
∴ So the LCM of the given numbers is 3 x 5 x 44 x 23 = 15180
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/15180
Therefore, the GCF of Fractions 770/660,7029/345 is 11/15180
Least Common Multiple of 660,345 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 660,345 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(660,345) = 15
common factors(in case of two or more numbers have common factors) = 1
GCF(660,345) x common factors =15 x 1 = 15
LCM(660,345) = ( 660 × 345 ) / 15
LCM(660,345) = 227700 / 15
LCM(660,345) = 15180
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FAQs on GCF of Fractions of 770/660, 7029/345
1. What is the HCF of 770,7029?
The HCF of 770,7029 is 11
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 770/660, 7029/345?
Answer: GCF of Numerators as per given numbers 770/660, 7029/345 is
GCF of Numerators i.e. for 770,7029 is 11
LCM of denominators i.e. for 660,345 is 15180.
Thus, GCF of Fractions is 11/15180.Finally, GCF of Fractions for 770/660, 7029/345 is 11/15180.