Highest Common Factor of 769, 200, 887 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 769, 200, 887 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 769, 200, 887 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 769, 200, 887 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 769, 200, 887 is 1.
HCF(769, 200, 887) = 1
HCF of 769, 200, 887 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 769, 200, 887 is 1.
Highest Common Factor of 769,200,887 is 1
Step 1: Since 769 > 200, we apply the division lemma to 769 and 200, to get
769 = 200 x 3 + 169
Step 2: Since the reminder 200 ≠ 0, we apply division lemma to 169 and 200, to get
200 = 169 x 1 + 31
Step 3: We consider the new divisor 169 and the new remainder 31, and apply the division lemma to get
169 = 31 x 5 + 14
We consider the new divisor 31 and the new remainder 14,and apply the division lemma to get
31 = 14 x 2 + 3
We consider the new divisor 14 and the new remainder 3,and apply the division lemma to get
14 = 3 x 4 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 769 and 200 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(14,3) = HCF(31,14) = HCF(169,31) = HCF(200,169) = HCF(769,200) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 887 > 1, we apply the division lemma to 887 and 1, to get
887 = 1 x 887 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 887 is 1
Notice that 1 = HCF(887,1) .
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Frequently Asked Questions on HCF of 769, 200, 887 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 769, 200, 887?
Answer: HCF of 769, 200, 887 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 769, 200, 887 using Euclid's Algorithm?
Answer: For arbitrary numbers 769, 200, 887 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
