Highest Common Factor of 363, 236, 722 using Euclid's algorithm
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 363, 236, 722 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 363, 236, 722 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 363, 236, 722 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 363, 236, 722 is 1.
HCF(363, 236, 722) = 1
HCF of 363, 236, 722 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 363, 236, 722 is 1.
Highest Common Factor of 363,236,722 is 1
Step 1: Since 363 > 236, we apply the division lemma to 363 and 236, to get
363 = 236 x 1 + 127
Step 2: Since the reminder 236 ≠ 0, we apply division lemma to 127 and 236, to get
236 = 127 x 1 + 109
Step 3: We consider the new divisor 127 and the new remainder 109, and apply the division lemma to get
127 = 109 x 1 + 18
We consider the new divisor 109 and the new remainder 18,and apply the division lemma to get
109 = 18 x 6 + 1
We consider the new divisor 18 and the new remainder 1,and apply the division lemma to get
18 = 1 x 18 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 363 and 236 is 1
Notice that 1 = HCF(18,1) = HCF(109,18) = HCF(127,109) = HCF(236,127) = HCF(363,236) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 722 > 1, we apply the division lemma to 722 and 1, to get
722 = 1 x 722 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 722 is 1
Notice that 1 = HCF(722,1) .
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Frequently Asked Questions on HCF of 363, 236, 722 using Euclid's Algorithm
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 363, 236, 722?
Answer: HCF of 363, 236, 722 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 363, 236, 722 using Euclid's Algorithm?
Answer: For arbitrary numbers 363, 236, 722 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.