Highest Common Factor of 887, 75982 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 887, 75982 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 887, 75982 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 887, 75982 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 887, 75982 is 1.
HCF(887, 75982) = 1
HCF of 887, 75982 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 887, 75982 is 1.
Highest Common Factor of 887,75982 is 1
Step 1: Since 75982 > 887, we apply the division lemma to 75982 and 887, to get
75982 = 887 x 85 + 587
Step 2: Since the reminder 887 ≠ 0, we apply division lemma to 587 and 887, to get
887 = 587 x 1 + 300
Step 3: We consider the new divisor 587 and the new remainder 300, and apply the division lemma to get
587 = 300 x 1 + 287
We consider the new divisor 300 and the new remainder 287,and apply the division lemma to get
300 = 287 x 1 + 13
We consider the new divisor 287 and the new remainder 13,and apply the division lemma to get
287 = 13 x 22 + 1
We consider the new divisor 13 and the new remainder 1,and apply the division lemma to get
13 = 1 x 13 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 887 and 75982 is 1
Notice that 1 = HCF(13,1) = HCF(287,13) = HCF(300,287) = HCF(587,300) = HCF(887,587) = HCF(75982,887) .
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Frequently Asked Questions on HCF of 887, 75982 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 887, 75982?
Answer: HCF of 887, 75982 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 887, 75982 using Euclid's Algorithm?
Answer: For arbitrary numbers 887, 75982 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.