Highest Common Factor of 369, 671, 70 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 369, 671, 70 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 369, 671, 70 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 369, 671, 70 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 369, 671, 70 is 1.
HCF(369, 671, 70) = 1
HCF of 369, 671, 70 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 369, 671, 70 is 1.
Highest Common Factor of 369,671,70 is 1
Step 1: Since 671 > 369, we apply the division lemma to 671 and 369, to get
671 = 369 x 1 + 302
Step 2: Since the reminder 369 ≠ 0, we apply division lemma to 302 and 369, to get
369 = 302 x 1 + 67
Step 3: We consider the new divisor 302 and the new remainder 67, and apply the division lemma to get
302 = 67 x 4 + 34
We consider the new divisor 67 and the new remainder 34,and apply the division lemma to get
67 = 34 x 1 + 33
We consider the new divisor 34 and the new remainder 33,and apply the division lemma to get
34 = 33 x 1 + 1
We consider the new divisor 33 and the new remainder 1,and apply the division lemma to get
33 = 1 x 33 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 369 and 671 is 1
Notice that 1 = HCF(33,1) = HCF(34,33) = HCF(67,34) = HCF(302,67) = HCF(369,302) = HCF(671,369) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 70 > 1, we apply the division lemma to 70 and 1, to get
70 = 1 x 70 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 70 is 1
Notice that 1 = HCF(70,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 369, 671, 70 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 369, 671, 70?
Answer: HCF of 369, 671, 70 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 369, 671, 70 using Euclid's Algorithm?
Answer: For arbitrary numbers 369, 671, 70 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.