Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 366, 133, 731 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 366, 133, 731 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 366, 133, 731 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 366, 133, 731 is 1.
HCF(366, 133, 731) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 366, 133, 731 is 1.
Step 1: Since 366 > 133, we apply the division lemma to 366 and 133, to get
366 = 133 x 2 + 100
Step 2: Since the reminder 133 ≠ 0, we apply division lemma to 100 and 133, to get
133 = 100 x 1 + 33
Step 3: We consider the new divisor 100 and the new remainder 33, and apply the division lemma to get
100 = 33 x 3 + 1
We consider the new divisor 33 and the new remainder 1, and apply the division lemma to get
33 = 1 x 33 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 366 and 133 is 1
Notice that 1 = HCF(33,1) = HCF(100,33) = HCF(133,100) = HCF(366,133) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 731 > 1, we apply the division lemma to 731 and 1, to get
731 = 1 x 731 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 731 is 1
Notice that 1 = HCF(731,1) .
Here are some samples of HCF using Euclid's Algorithm calculations.
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 366, 133, 731?
Answer: HCF of 366, 133, 731 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 366, 133, 731 using Euclid's Algorithm?
Answer: For arbitrary numbers 366, 133, 731 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.