GCF of 9869/124, 8749/2972
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9869/124, 8749/2972 i.e 1/92132 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9869/124, 8749/2972.
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 9869/124,8749/2972?
Given fractions are 9869/124,8749/2972
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 9869/124,8749/2972, numerators are 9869,8749
Denominators are 124,2972
The GCF of 9869,8749 is 1 .
LCM of 124,2972 is 92132.
The greatest common factor of 9869/124,8749/2972 = [GCF of 9869,8749]/[LCM of 124,2972]= 1/92132
Therefore, the GCF of 9869/124,8749/2972 is 1/92132.
To find the highest common factor of 9869,8749, we have to find the factors of both numbers and list the highest common factor.
The factors of 9869 are 1, 71, 139, 9869
The factors of 8749 are 1, 13, 673, 8749
The HCF of 9869,8749 is 1.
Lets's calculate GCF of 9869,8749
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9869,8749 By Matching Biggest Common Factor Method
Now, list down the factors of 9869
:1,71,139,9869
Now, list down the factors of 8749
:1,13,673,8749
Greatest Common Factor
We found the factors 9869,8749 . The biggest common factor number is the GCF number.
So the greatest common factor 9869,8749 is 1.
Lets's calculate LCM of 124,2972
| 2 | 124, 2972 |
| 2 | 62, 1486 |
| 31, 743 |
∴ So the LCM of the given numbers is 2 x 2 x 31 x 743 = 92132
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/92132
Therefore, the GCF of Fractions 9869/124,8749/2972 is 1/92132
Least Common Multiple of 124,2972 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 124,2972 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(124,2972) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(124,2972) x common factors =4 x 1 = 4
LCM(124,2972) = ( 124 × 2972 ) / 4
LCM(124,2972) = 368528 / 4
LCM(124,2972) = 92132
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FAQs on GCF of Fractions of 9869/124, 8749/2972
1. What is the HCF of 9869,8749?
The HCF of 9869,8749 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 9869/124, 8749/2972?
Answer: GCF of Numerators as per given numbers 9869/124, 8749/2972 is
GCF of Numerators i.e. for 9869,8749 is 1
LCM of denominators i.e. for 124,2972 is 92132.
Thus, GCF of Fractions is 1/92132.Finally, GCF of Fractions for 9869/124, 8749/2972 is 1/92132.