GCF of 7921/490, 8746/609
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7921/490, 8746/609 i.e 1/42630 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7921/490, 8746/609.
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 7921/490,8746/609?
Given fractions are 7921/490,8746/609
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 7921/490,8746/609, numerators are 7921,8746
Denominators are 490,609
The GCF of 7921,8746 is 1 .
LCM of 490,609 is 42630.
The greatest common factor of 7921/490,8746/609 = [GCF of 7921,8746]/[LCM of 490,609]= 1/42630
Therefore, the GCF of 7921/490,8746/609 is 1/42630.
To find the highest common factor of 7921,8746, we have to find the factors of both numbers and list the highest common factor.
The factors of 7921 are 1, 89, 7921
The factors of 8746 are 1, 2, 4373, 8746
The HCF of 7921,8746 is 1.
Lets's calculate GCF of 7921,8746
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7921,8746 By Matching Biggest Common Factor Method
Now, list down the factors of 7921
:1,89,7921
Now, list down the factors of 8746
:1,2,4373,8746
Greatest Common Factor
We found the factors 7921,8746 . The biggest common factor number is the GCF number.
So the greatest common factor 7921,8746 is 1.
Lets's calculate LCM of 490,609
| 7 | 490, 609 |
| 70, 87 |
∴ So the LCM of the given numbers is 7 x 70 x 87 = 42630
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/42630
Therefore, the GCF of Fractions 7921/490,8746/609 is 1/42630
Least Common Multiple of 490,609 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 490,609 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(490,609) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(490,609) x common factors =7 x 1 = 7
LCM(490,609) = ( 490 × 609 ) / 7
LCM(490,609) = 298410 / 7
LCM(490,609) = 42630
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FAQs on GCF of Fractions of 7921/490, 8746/609
1. What is the HCF of 7921,8746?
The HCF of 7921,8746 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 7921/490, 8746/609?
Answer: GCF of Numerators as per given numbers 7921/490, 8746/609 is
GCF of Numerators i.e. for 7921,8746 is 1
LCM of denominators i.e. for 490,609 is 42630.
Thus, GCF of Fractions is 1/42630.Finally, GCF of Fractions for 7921/490, 8746/609 is 1/42630.