GCF of 574/68, 987/898
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 574/68, 987/898 i.e 7/30532 easily. The following is the detailed procedure to determine the greatest common factor of fractions 574/68, 987/898.
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 574/68,987/898?
Given fractions are 574/68,987/898
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 574/68,987/898, numerators are 574,987
Denominators are 68,898
The GCF of 574,987 is 7 .
LCM of 68,898 is 30532.
The greatest common factor of 574/68,987/898 = [GCF of 574,987]/[LCM of 68,898]= 7/30532
Therefore, the GCF of 574/68,987/898 is 7/30532.
To find the highest common factor of 574,987, we have to find the factors of both numbers and list the highest common factor.
The factors of 574 are 1, 2, 7, 14, 41, 82, 287, 574
The factors of 987 are 1, 3, 7, 21, 47, 141, 329, 987
The HCF of 574,987 is 7.
Lets's calculate GCF of 574,987
| 7 | 574, 987 |
| 82, 141 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 574,987 By Matching Biggest Common Factor Method
Now, list down the factors of 574
:1,2,7,14,41,82,287,574
Now, list down the factors of 987
:1,3,7,21,47,141,329,987
Greatest Common Factor
We found the factors 574,987 . The biggest common factor number is the GCF number.
So the greatest common factor 574,987 is 7.
Lets's calculate LCM of 68,898
| 2 | 68, 898 |
| 34, 449 |
∴ So the LCM of the given numbers is 2 x 34 x 449 = 30532
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/30532
Therefore, the GCF of Fractions 574/68,987/898 is 7/30532
Least Common Multiple of 68,898 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 68,898 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(68,898) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(68,898) x common factors =2 x 1 = 2
LCM(68,898) = ( 68 × 898 ) / 2
LCM(68,898) = 61064 / 2
LCM(68,898) = 30532
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FAQs on GCF of Fractions of 574/68, 987/898
1. What is the HCF of 574,987?
The HCF of 574,987 is 7
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 574/68, 987/898?
Answer: GCF of Numerators as per given numbers 574/68, 987/898 is
GCF of Numerators i.e. for 574,987 is 7
LCM of denominators i.e. for 68,898 is 30532.
Thus, GCF of Fractions is 7/30532.Finally, GCF of Fractions for 574/68, 987/898 is 7/30532.