GCF of 4825/974, 9569/948
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4825/974, 9569/948 i.e 1/461676 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4825/974, 9569/948.
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 4825/974,9569/948?
Given fractions are 4825/974,9569/948
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 4825/974,9569/948, numerators are 4825,9569
Denominators are 974,948
The GCF of 4825,9569 is 1 .
LCM of 974,948 is 461676.
The greatest common factor of 4825/974,9569/948 = [GCF of 4825,9569]/[LCM of 974,948]= 1/461676
Therefore, the GCF of 4825/974,9569/948 is 1/461676.
To find the highest common factor of 4825,9569, we have to find the factors of both numbers and list the highest common factor.
The factors of 4825 are 1, 5, 25, 193, 965, 4825
The factors of 9569 are 1, 7, 1367, 9569
The HCF of 4825,9569 is 1.
Lets's calculate GCF of 4825,9569
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4825,9569 By Matching Biggest Common Factor Method
Now, list down the factors of 4825
:1,5,25,193,965,4825
Now, list down the factors of 9569
:1,7,1367,9569
Greatest Common Factor
We found the factors 4825,9569 . The biggest common factor number is the GCF number.
So the greatest common factor 4825,9569 is 1.
Lets's calculate LCM of 974,948
| 2 | 974, 948 |
| 487, 474 |
∴ So the LCM of the given numbers is 2 x 487 x 474 = 461676
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/461676
Therefore, the GCF of Fractions 4825/974,9569/948 is 1/461676
Least Common Multiple of 974,948 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 974,948 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(974,948) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(974,948) x common factors =2 x 1 = 2
LCM(974,948) = ( 974 × 948 ) / 2
LCM(974,948) = 923352 / 2
LCM(974,948) = 461676
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FAQs on GCF of Fractions of 4825/974, 9569/948
1. What is the HCF of 4825,9569?
The HCF of 4825,9569 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 4825/974, 9569/948?
Answer: GCF of Numerators as per given numbers 4825/974, 9569/948 is
GCF of Numerators i.e. for 4825,9569 is 1
LCM of denominators i.e. for 974,948 is 461676.
Thus, GCF of Fractions is 1/461676.Finally, GCF of Fractions for 4825/974, 9569/948 is 1/461676.