GCF of 4717/375, 8442/8178
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4717/375, 8442/8178 i.e 1/1022250 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4717/375, 8442/8178.
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 4717/375,8442/8178?
Given fractions are 4717/375,8442/8178
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 4717/375,8442/8178, numerators are 4717,8442
Denominators are 375,8178
The GCF of 4717,8442 is 1 .
LCM of 375,8178 is 1022250.
The greatest common factor of 4717/375,8442/8178 = [GCF of 4717,8442]/[LCM of 375,8178]= 1/1022250
Therefore, the GCF of 4717/375,8442/8178 is 1/1022250.
To find the highest common factor of 4717,8442, we have to find the factors of both numbers and list the highest common factor.
The factors of 4717 are 1, 53, 89, 4717
The factors of 8442 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 67, 126, 134, 201, 402, 469, 603, 938, 1206, 1407, 2814, 4221, 8442
The HCF of 4717,8442 is 1.
Lets's calculate GCF of 4717,8442
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4717,8442 By Matching Biggest Common Factor Method
Now, list down the factors of 4717
:1,53,89,4717
Now, list down the factors of 8442
:1,2,3,6,7,9,14,18,21,42,63,67,126,134,201,402,469,603,938,1206,1407,2814,4221,8442
Greatest Common Factor
We found the factors 4717,8442 . The biggest common factor number is the GCF number.
So the greatest common factor 4717,8442 is 1.
Lets's calculate LCM of 375,8178
| 3 | 375, 8178 |
| 125, 2726 |
∴ So the LCM of the given numbers is 3 x 125 x 2726 = 1022250
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1022250
Therefore, the GCF of Fractions 4717/375,8442/8178 is 1/1022250
Least Common Multiple of 375,8178 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 375,8178 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(375,8178) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(375,8178) x common factors =3 x 1 = 3
LCM(375,8178) = ( 375 × 8178 ) / 3
LCM(375,8178) = 3066750 / 3
LCM(375,8178) = 1022250
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FAQs on GCF of Fractions of 4717/375, 8442/8178
1. What is the HCF of 4717,8442?
The HCF of 4717,8442 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 4717/375, 8442/8178?
Answer: GCF of Numerators as per given numbers 4717/375, 8442/8178 is
GCF of Numerators i.e. for 4717,8442 is 1
LCM of denominators i.e. for 375,8178 is 1022250.
Thus, GCF of Fractions is 1/1022250.Finally, GCF of Fractions for 4717/375, 8442/8178 is 1/1022250.