GCF of 7969/658, 3540/650
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7969/658, 3540/650 i.e 1/213850 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7969/658, 3540/650.
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 7969/658,3540/650?
Given fractions are 7969/658,3540/650
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 7969/658,3540/650, numerators are 7969,3540
Denominators are 658,650
The GCF of 7969,3540 is 1 .
LCM of 658,650 is 213850.
The greatest common factor of 7969/658,3540/650 = [GCF of 7969,3540]/[LCM of 658,650]= 1/213850
Therefore, the GCF of 7969/658,3540/650 is 1/213850.
To find the highest common factor of 7969,3540, we have to find the factors of both numbers and list the highest common factor.
The factors of 7969 are 1, 13, 613, 7969
The factors of 3540 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 59, 60, 118, 177, 236, 295, 354, 590, 708, 885, 1180, 1770, 3540
The HCF of 7969,3540 is 1.
Lets's calculate GCF of 7969,3540
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7969,3540 By Matching Biggest Common Factor Method
Now, list down the factors of 7969
:1,13,613,7969
Now, list down the factors of 3540
:1,2,3,4,5,6,10,12,15,20,30,59,60,118,177,236,295,354,590,708,885,1180,1770,3540
Greatest Common Factor
We found the factors 7969,3540 . The biggest common factor number is the GCF number.
So the greatest common factor 7969,3540 is 1.
Lets's calculate LCM of 658,650
| 2 | 658, 650 |
| 329, 325 |
∴ So the LCM of the given numbers is 2 x 329 x 325 = 213850
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/213850
Therefore, the GCF of Fractions 7969/658,3540/650 is 1/213850
Least Common Multiple of 658,650 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 658,650 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(658,650) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(658,650) x common factors =2 x 1 = 2
LCM(658,650) = ( 658 × 650 ) / 2
LCM(658,650) = 427700 / 2
LCM(658,650) = 213850
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FAQs on GCF of Fractions of 7969/658, 3540/650
1. What is the HCF of 7969,3540?
The HCF of 7969,3540 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 7969/658, 3540/650?
Answer: GCF of Numerators as per given numbers 7969/658, 3540/650 is
GCF of Numerators i.e. for 7969,3540 is 1
LCM of denominators i.e. for 658,650 is 213850.
Thus, GCF of Fractions is 1/213850.Finally, GCF of Fractions for 7969/658, 3540/650 is 1/213850.