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 747, 947, 933 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 747, 947, 933 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 747, 947, 933 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 747, 947, 933 is 1.
HCF(747, 947, 933) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 747, 947, 933 is 1.
Step 1: Since 947 > 747, we apply the division lemma to 947 and 747, to get
947 = 747 x 1 + 200
Step 2: Since the reminder 747 ≠ 0, we apply division lemma to 200 and 747, to get
747 = 200 x 3 + 147
Step 3: We consider the new divisor 200 and the new remainder 147, and apply the division lemma to get
200 = 147 x 1 + 53
We consider the new divisor 147 and the new remainder 53,and apply the division lemma to get
147 = 53 x 2 + 41
We consider the new divisor 53 and the new remainder 41,and apply the division lemma to get
53 = 41 x 1 + 12
We consider the new divisor 41 and the new remainder 12,and apply the division lemma to get
41 = 12 x 3 + 5
We consider the new divisor 12 and the new remainder 5,and apply the division lemma to get
12 = 5 x 2 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 747 and 947 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(12,5) = HCF(41,12) = HCF(53,41) = HCF(147,53) = HCF(200,147) = HCF(747,200) = HCF(947,747) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 933 > 1, we apply the division lemma to 933 and 1, to get
933 = 1 x 933 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 933 is 1
Notice that 1 = HCF(933,1) .
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 747, 947, 933?
Answer: HCF of 747, 947, 933 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 747, 947, 933 using Euclid's Algorithm?
Answer: For arbitrary numbers 747, 947, 933 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.