Highest Common Factor of 887, 508, 473 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, 508, 473 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 887, 508, 473 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, 508, 473 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, 508, 473 is 1.
HCF(887, 508, 473) = 1
HCF of 887, 508, 473 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, 508, 473 is 1.
Highest Common Factor of 887,508,473 is 1
Step 1: Since 887 > 508, we apply the division lemma to 887 and 508, to get
887 = 508 x 1 + 379
Step 2: Since the reminder 508 ≠ 0, we apply division lemma to 379 and 508, to get
508 = 379 x 1 + 129
Step 3: We consider the new divisor 379 and the new remainder 129, and apply the division lemma to get
379 = 129 x 2 + 121
We consider the new divisor 129 and the new remainder 121,and apply the division lemma to get
129 = 121 x 1 + 8
We consider the new divisor 121 and the new remainder 8,and apply the division lemma to get
121 = 8 x 15 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 887 and 508 is 1
Notice that 1 = HCF(8,1) = HCF(121,8) = HCF(129,121) = HCF(379,129) = HCF(508,379) = HCF(887,508) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 473 > 1, we apply the division lemma to 473 and 1, to get
473 = 1 x 473 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 473 is 1
Notice that 1 = HCF(473,1) .
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Frequently Asked Questions on HCF of 887, 508, 473 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, 508, 473?
Answer: HCF of 887, 508, 473 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 887, 508, 473 using Euclid's Algorithm?
Answer: For arbitrary numbers 887, 508, 473 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.