GCF of 4636/731, 4332/701
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4636/731, 4332/701 i.e 76/512431 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4636/731, 4332/701.
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 4636/731,4332/701?
Given fractions are 4636/731,4332/701
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 4636/731,4332/701, numerators are 4636,4332
Denominators are 731,701
The GCF of 4636,4332 is 76 .
LCM of 731,701 is 512431.
The greatest common factor of 4636/731,4332/701 = [GCF of 4636,4332]/[LCM of 731,701]= 76/512431
Therefore, the GCF of 4636/731,4332/701 is 76/512431.
To find the highest common factor of 4636,4332, we have to find the factors of both numbers and list the highest common factor.
The factors of 4636 are 1, 2, 4, 19, 38, 61, 76, 122, 244, 1159, 2318, 4636
The factors of 4332 are 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228, 361, 722, 1083, 1444, 2166, 4332
The HCF of 4636,4332 is 76.
Lets's calculate GCF of 4636,4332
| 2 | 4636, 4332 |
| 2 | 2318, 2166 |
| 19 | 1159, 1083 |
| 61, 57 |
∴ So the GCF of the given numbers is 2 x 2 x 19 = 76
Greatest Common Factor of 4636,4332 By Matching Biggest Common Factor Method
Now, list down the factors of 4636
:1,2,4,19,38,61,76,122,244,1159,2318,4636
Now, list down the factors of 4332
:1,2,3,4,6,12,19,38,57,76,114,228,361,722,1083,1444,2166,4332
Greatest Common Factor
We found the factors 4636,4332 . The biggest common factor number is the GCF number.
So the greatest common factor 4636,4332 is 76.
Lets's calculate LCM of 731,701
Given numbers has no common factors except 1. So, there LCM is their product i.e 512431
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 76/512431
Therefore, the GCF of Fractions 4636/731,4332/701 is 76/512431
Least Common Multiple of 731,701 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 731,701 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(731,701) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(731,701) x common factors =1 x 1 = 1
LCM(731,701) = ( 731 × 701 ) / 1
LCM(731,701) = 512431 / 1
LCM(731,701) = 512431
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FAQs on GCF of Fractions of 4636/731, 4332/701
1. What is the HCF of 4636,4332?
The HCF of 4636,4332 is 76
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 4636/731, 4332/701?
Answer: GCF of Numerators as per given numbers 4636/731, 4332/701 is
GCF of Numerators i.e. for 4636,4332 is 76
LCM of denominators i.e. for 731,701 is 512431.
Thus, GCF of Fractions is 76/512431.Finally, GCF of Fractions for 4636/731, 4332/701 is 76/512431.