GCF of 7067/830, 7701/270
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7067/830, 7701/270 i.e 1/22410 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7067/830, 7701/270.
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 7067/830,7701/270?
Given fractions are 7067/830,7701/270
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 7067/830,7701/270, numerators are 7067,7701
Denominators are 830,270
The GCF of 7067,7701 is 1 .
LCM of 830,270 is 22410.
The greatest common factor of 7067/830,7701/270 = [GCF of 7067,7701]/[LCM of 830,270]= 1/22410
Therefore, the GCF of 7067/830,7701/270 is 1/22410.
To find the highest common factor of 7067,7701, we have to find the factors of both numbers and list the highest common factor.
The factors of 7067 are 1, 37, 191, 7067
The factors of 7701 are 1, 3, 17, 51, 151, 453, 2567, 7701
The HCF of 7067,7701 is 1.
Lets's calculate GCF of 7067,7701
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7067,7701 By Matching Biggest Common Factor Method
Now, list down the factors of 7067
:1,37,191,7067
Now, list down the factors of 7701
:1,3,17,51,151,453,2567,7701
Greatest Common Factor
We found the factors 7067,7701 . The biggest common factor number is the GCF number.
So the greatest common factor 7067,7701 is 1.
Lets's calculate LCM of 830,270
| 2 | 830, 270 |
| 5 | 415, 135 |
| 83, 27 |
∴ So the LCM of the given numbers is 2 x 5 x 83 x 27 = 22410
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22410
Therefore, the GCF of Fractions 7067/830,7701/270 is 1/22410
Least Common Multiple of 830,270 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 830,270 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(830,270) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(830,270) x common factors =10 x 1 = 10
LCM(830,270) = ( 830 × 270 ) / 10
LCM(830,270) = 224100 / 10
LCM(830,270) = 22410
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FAQs on GCF of Fractions of 7067/830, 7701/270
1. What is the HCF of 7067,7701?
The HCF of 7067,7701 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 7067/830, 7701/270?
Answer: GCF of Numerators as per given numbers 7067/830, 7701/270 is
GCF of Numerators i.e. for 7067,7701 is 1
LCM of denominators i.e. for 830,270 is 22410.
Thus, GCF of Fractions is 1/22410.Finally, GCF of Fractions for 7067/830, 7701/270 is 1/22410.