Highest Common Factor of 667, 253, 243 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 667, 253, 243 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 667, 253, 243 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 667, 253, 243 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 667, 253, 243 is 1.
HCF(667, 253, 243) = 1
HCF of 667, 253, 243 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 667, 253, 243 is 1.
Highest Common Factor of 667,253,243 is 1
Step 1: Since 667 > 253, we apply the division lemma to 667 and 253, to get
667 = 253 x 2 + 161
Step 2: Since the reminder 253 ≠ 0, we apply division lemma to 161 and 253, to get
253 = 161 x 1 + 92
Step 3: We consider the new divisor 161 and the new remainder 92, and apply the division lemma to get
161 = 92 x 1 + 69
We consider the new divisor 92 and the new remainder 69,and apply the division lemma to get
92 = 69 x 1 + 23
We consider the new divisor 69 and the new remainder 23,and apply the division lemma to get
69 = 23 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 23, the HCF of 667 and 253 is 23
Notice that 23 = HCF(69,23) = HCF(92,69) = HCF(161,92) = HCF(253,161) = HCF(667,253) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 243 > 23, we apply the division lemma to 243 and 23, to get
243 = 23 x 10 + 13
Step 2: Since the reminder 23 ≠ 0, we apply division lemma to 13 and 23, to get
23 = 13 x 1 + 10
Step 3: We consider the new divisor 13 and the new remainder 10, and apply the division lemma to get
13 = 10 x 1 + 3
We consider the new divisor 10 and the new remainder 3,and apply the division lemma to get
10 = 3 x 3 + 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 23 and 243 is 1
Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(13,10) = HCF(23,13) = HCF(243,23) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 667, 253, 243 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 667, 253, 243?
Answer: HCF of 667, 253, 243 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 667, 253, 243 using Euclid's Algorithm?
Answer: For arbitrary numbers 667, 253, 243 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.