GCF of 949/74, 216/974
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 949/74, 216/974 i.e 1/36038 easily. The following is the detailed procedure to determine the greatest common factor of fractions 949/74, 216/974.
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 949/74,216/974?
Given fractions are 949/74,216/974
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 949/74,216/974, numerators are 949,216
Denominators are 74,974
The GCF of 949,216 is 1 .
LCM of 74,974 is 36038.
The greatest common factor of 949/74,216/974 = [GCF of 949,216]/[LCM of 74,974]= 1/36038
Therefore, the GCF of 949/74,216/974 is 1/36038.
To find the highest common factor of 949,216, we have to find the factors of both numbers and list the highest common factor.
The factors of 949 are 1, 13, 73, 949
The factors of 216 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
The HCF of 949,216 is 1.
Lets's calculate GCF of 949,216
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 949,216 By Matching Biggest Common Factor Method
Now, list down the factors of 949
:1,13,73,949
Now, list down the factors of 216
:1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216
Greatest Common Factor
We found the factors 949,216 . The biggest common factor number is the GCF number.
So the greatest common factor 949,216 is 1.
Lets's calculate LCM of 74,974
| 2 | 74, 974 |
| 37, 487 |
∴ So the LCM of the given numbers is 2 x 37 x 487 = 36038
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/36038
Therefore, the GCF of Fractions 949/74,216/974 is 1/36038
Least Common Multiple of 74,974 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 74,974 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(74,974) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(74,974) x common factors =2 x 1 = 2
LCM(74,974) = ( 74 × 974 ) / 2
LCM(74,974) = 72076 / 2
LCM(74,974) = 36038
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FAQs on GCF of Fractions of 949/74, 216/974
1. What is the HCF of 949,216?
The HCF of 949,216 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 949/74, 216/974?
Answer: GCF of Numerators as per given numbers 949/74, 216/974 is
GCF of Numerators i.e. for 949,216 is 1
LCM of denominators i.e. for 74,974 is 36038.
Thus, GCF of Fractions is 1/36038.Finally, GCF of Fractions for 949/74, 216/974 is 1/36038.