GCF of 974/422, 632/359
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 974/422, 632/359 i.e 2/151498 easily. The following is the detailed procedure to determine the greatest common factor of fractions 974/422, 632/359.
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 974/422,632/359?
Given fractions are 974/422,632/359
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 974/422,632/359, numerators are 974,632
Denominators are 422,359
The GCF of 974,632 is 2 .
LCM of 422,359 is 151498.
The greatest common factor of 974/422,632/359 = [GCF of 974,632]/[LCM of 422,359]= 2/151498
Therefore, the GCF of 974/422,632/359 is 2/151498.
To find the highest common factor of 974,632, we have to find the factors of both numbers and list the highest common factor.
The factors of 974 are 1, 2, 487, 974
The factors of 632 are 1, 2, 4, 8, 79, 158, 316, 632
The HCF of 974,632 is 2.
Lets's calculate GCF of 974,632
| 2 | 974, 632 |
| 487, 316 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 974,632 By Matching Biggest Common Factor Method
Now, list down the factors of 974
:1,2,487,974
Now, list down the factors of 632
:1,2,4,8,79,158,316,632
Greatest Common Factor
We found the factors 974,632 . The biggest common factor number is the GCF number.
So the greatest common factor 974,632 is 2.
Lets's calculate LCM of 422,359
Given numbers has no common factors except 1. So, there LCM is their product i.e 151498
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/151498
Therefore, the GCF of Fractions 974/422,632/359 is 2/151498
Least Common Multiple of 422,359 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 422,359 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(422,359) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(422,359) x common factors =1 x 1 = 1
LCM(422,359) = ( 422 × 359 ) / 1
LCM(422,359) = 151498 / 1
LCM(422,359) = 151498
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FAQs on GCF of Fractions of 974/422, 632/359
1. What is the HCF of 974,632?
The HCF of 974,632 is 2
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 974/422, 632/359?
Answer: GCF of Numerators as per given numbers 974/422, 632/359 is
GCF of Numerators i.e. for 974,632 is 2
LCM of denominators i.e. for 422,359 is 151498.
Thus, GCF of Fractions is 2/151498.Finally, GCF of Fractions for 974/422, 632/359 is 2/151498.