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 970, 40087 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 970, 40087 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 970, 40087 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 970, 40087 is 1.
HCF(970, 40087) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 970, 40087 is 1.
Step 1: Since 40087 > 970, we apply the division lemma to 40087 and 970, to get
40087 = 970 x 41 + 317
Step 2: Since the reminder 970 ≠ 0, we apply division lemma to 317 and 970, to get
970 = 317 x 3 + 19
Step 3: We consider the new divisor 317 and the new remainder 19, and apply the division lemma to get
317 = 19 x 16 + 13
We consider the new divisor 19 and the new remainder 13,and apply the division lemma to get
19 = 13 x 1 + 6
We consider the new divisor 13 and the new remainder 6,and apply the division lemma to get
13 = 6 x 2 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 970 and 40087 is 1
Notice that 1 = HCF(6,1) = HCF(13,6) = HCF(19,13) = HCF(317,19) = HCF(970,317) = HCF(40087,970) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 970, 40087?
Answer: HCF of 970, 40087 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 970, 40087 using Euclid's Algorithm?
Answer: For arbitrary numbers 970, 40087 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.