Highest Common Factor of 397, 760 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 397, 760 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 397, 760 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 397, 760 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 397, 760 is 1.
HCF(397, 760) = 1
HCF of 397, 760 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 397, 760 is 1.
Highest Common Factor of 397,760 is 1
Step 1: Since 760 > 397, we apply the division lemma to 760 and 397, to get
760 = 397 x 1 + 363
Step 2: Since the reminder 397 ≠ 0, we apply division lemma to 363 and 397, to get
397 = 363 x 1 + 34
Step 3: We consider the new divisor 363 and the new remainder 34, and apply the division lemma to get
363 = 34 x 10 + 23
We consider the new divisor 34 and the new remainder 23,and apply the division lemma to get
34 = 23 x 1 + 11
We consider the new divisor 23 and the new remainder 11,and apply the division lemma to get
23 = 11 x 2 + 1
We consider the new divisor 11 and the new remainder 1,and apply the division lemma to get
11 = 1 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 397 and 760 is 1
Notice that 1 = HCF(11,1) = HCF(23,11) = HCF(34,23) = HCF(363,34) = HCF(397,363) = HCF(760,397) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 397, 760 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 397, 760?
Answer: HCF of 397, 760 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 397, 760 using Euclid's Algorithm?
Answer: For arbitrary numbers 397, 760 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.