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 606, 763, 492 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 606, 763, 492 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 606, 763, 492 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 606, 763, 492 is 1.
HCF(606, 763, 492) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 606, 763, 492 is 1.
Step 1: Since 763 > 606, we apply the division lemma to 763 and 606, to get
763 = 606 x 1 + 157
Step 2: Since the reminder 606 ≠ 0, we apply division lemma to 157 and 606, to get
606 = 157 x 3 + 135
Step 3: We consider the new divisor 157 and the new remainder 135, and apply the division lemma to get
157 = 135 x 1 + 22
We consider the new divisor 135 and the new remainder 22,and apply the division lemma to get
135 = 22 x 6 + 3
We consider the new divisor 22 and the new remainder 3,and apply the division lemma to get
22 = 3 x 7 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 606 and 763 is 1
Notice that 1 = HCF(3,1) = HCF(22,3) = HCF(135,22) = HCF(157,135) = HCF(606,157) = HCF(763,606) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 492 > 1, we apply the division lemma to 492 and 1, to get
492 = 1 x 492 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 492 is 1
Notice that 1 = HCF(492,1) .
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 606, 763, 492?
Answer: HCF of 606, 763, 492 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 606, 763, 492 using Euclid's Algorithm?
Answer: For arbitrary numbers 606, 763, 492 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.