GCF of 4338/430, 9164/765
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4338/430, 9164/765 i.e 2/65790 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4338/430, 9164/765.
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 4338/430,9164/765?
Given fractions are 4338/430,9164/765
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 4338/430,9164/765, numerators are 4338,9164
Denominators are 430,765
The GCF of 4338,9164 is 2 .
LCM of 430,765 is 65790.
The greatest common factor of 4338/430,9164/765 = [GCF of 4338,9164]/[LCM of 430,765]= 2/65790
Therefore, the GCF of 4338/430,9164/765 is 2/65790.
To find the highest common factor of 4338,9164, we have to find the factors of both numbers and list the highest common factor.
The factors of 4338 are 1, 2, 3, 6, 9, 18, 241, 482, 723, 1446, 2169, 4338
The factors of 9164 are 1, 2, 4, 29, 58, 79, 116, 158, 316, 2291, 4582, 9164
The HCF of 4338,9164 is 2.
Lets's calculate GCF of 4338,9164
| 2 | 4338, 9164 |
| 2169, 4582 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4338,9164 By Matching Biggest Common Factor Method
Now, list down the factors of 4338
:1,2,3,6,9,18,241,482,723,1446,2169,4338
Now, list down the factors of 9164
:1,2,4,29,58,79,116,158,316,2291,4582,9164
Greatest Common Factor
We found the factors 4338,9164 . The biggest common factor number is the GCF number.
So the greatest common factor 4338,9164 is 2.
Lets's calculate LCM of 430,765
| 5 | 430, 765 |
| 86, 153 |
∴ So the LCM of the given numbers is 5 x 86 x 153 = 65790
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/65790
Therefore, the GCF of Fractions 4338/430,9164/765 is 2/65790
Least Common Multiple of 430,765 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 430,765 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(430,765) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(430,765) x common factors =5 x 1 = 5
LCM(430,765) = ( 430 × 765 ) / 5
LCM(430,765) = 328950 / 5
LCM(430,765) = 65790
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FAQs on GCF of Fractions of 4338/430, 9164/765
1. What is the HCF of 4338,9164?
The HCF of 4338,9164 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 4338/430, 9164/765?
Answer: GCF of Numerators as per given numbers 4338/430, 9164/765 is
GCF of Numerators i.e. for 4338,9164 is 2
LCM of denominators i.e. for 430,765 is 65790.
Thus, GCF of Fractions is 2/65790.Finally, GCF of Fractions for 4338/430, 9164/765 is 2/65790.