Highest Common Factor of 367, 970, 657 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 367, 970, 657 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 367, 970, 657 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 367, 970, 657 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 367, 970, 657 is 1.
HCF(367, 970, 657) = 1
HCF of 367, 970, 657 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 367, 970, 657 is 1.
Highest Common Factor of 367,970,657 is 1
Step 1: Since 970 > 367, we apply the division lemma to 970 and 367, to get
970 = 367 x 2 + 236
Step 2: Since the reminder 367 ≠ 0, we apply division lemma to 236 and 367, to get
367 = 236 x 1 + 131
Step 3: We consider the new divisor 236 and the new remainder 131, and apply the division lemma to get
236 = 131 x 1 + 105
We consider the new divisor 131 and the new remainder 105,and apply the division lemma to get
131 = 105 x 1 + 26
We consider the new divisor 105 and the new remainder 26,and apply the division lemma to get
105 = 26 x 4 + 1
We consider the new divisor 26 and the new remainder 1,and apply the division lemma to get
26 = 1 x 26 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 367 and 970 is 1
Notice that 1 = HCF(26,1) = HCF(105,26) = HCF(131,105) = HCF(236,131) = HCF(367,236) = HCF(970,367) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 657 > 1, we apply the division lemma to 657 and 1, to get
657 = 1 x 657 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 657 is 1
Notice that 1 = HCF(657,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 367, 970, 657 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 367, 970, 657?
Answer: HCF of 367, 970, 657 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 367, 970, 657 using Euclid's Algorithm?
Answer: For arbitrary numbers 367, 970, 657 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.