GCF of 6701/460, 9512/6070
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6701/460, 9512/6070 i.e 1/279220 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6701/460, 9512/6070.
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 6701/460,9512/6070?
Given fractions are 6701/460,9512/6070
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 6701/460,9512/6070, numerators are 6701,9512
Denominators are 460,6070
The GCF of 6701,9512 is 1 .
LCM of 460,6070 is 279220.
The greatest common factor of 6701/460,9512/6070 = [GCF of 6701,9512]/[LCM of 460,6070]= 1/279220
Therefore, the GCF of 6701/460,9512/6070 is 1/279220.
To find the highest common factor of 6701,9512, we have to find the factors of both numbers and list the highest common factor.
The factors of 6701 are 1, 6701
The factors of 9512 are 1, 2, 4, 8, 29, 41, 58, 82, 116, 164, 232, 328, 1189, 2378, 4756, 9512
The HCF of 6701,9512 is 1.
Lets's calculate GCF of 6701,9512
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6701,9512 By Matching Biggest Common Factor Method
Now, list down the factors of 6701
:1,6701
Now, list down the factors of 9512
:1,2,4,8,29,41,58,82,116,164,232,328,1189,2378,4756,9512
Greatest Common Factor
We found the factors 6701,9512 . The biggest common factor number is the GCF number.
So the greatest common factor 6701,9512 is 1.
Lets's calculate LCM of 460,6070
| 2 | 460, 6070 |
| 5 | 230, 3035 |
| 46, 607 |
∴ So the LCM of the given numbers is 2 x 5 x 46 x 607 = 279220
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/279220
Therefore, the GCF of Fractions 6701/460,9512/6070 is 1/279220
Least Common Multiple of 460,6070 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 460,6070 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(460,6070) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(460,6070) x common factors =10 x 1 = 10
LCM(460,6070) = ( 460 × 6070 ) / 10
LCM(460,6070) = 2792200 / 10
LCM(460,6070) = 279220
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FAQs on GCF of Fractions of 6701/460, 9512/6070
1. What is the HCF of 6701,9512?
The HCF of 6701,9512 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 6701/460, 9512/6070?
Answer: GCF of Numerators as per given numbers 6701/460, 9512/6070 is
GCF of Numerators i.e. for 6701,9512 is 1
LCM of denominators i.e. for 460,6070 is 279220.
Thus, GCF of Fractions is 1/279220.Finally, GCF of Fractions for 6701/460, 9512/6070 is 1/279220.