Highest Common Factor of 873, 95595 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 873, 95595 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 873, 95595 is 3 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 873, 95595 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 873, 95595 is 3.
HCF(873, 95595) = 3
HCF of 873, 95595 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 873, 95595 is 3.
Highest Common Factor of 873,95595 is 3
Step 1: Since 95595 > 873, we apply the division lemma to 95595 and 873, to get
95595 = 873 x 109 + 438
Step 2: Since the reminder 873 ≠ 0, we apply division lemma to 438 and 873, to get
873 = 438 x 1 + 435
Step 3: We consider the new divisor 438 and the new remainder 435, and apply the division lemma to get
438 = 435 x 1 + 3
We consider the new divisor 435 and the new remainder 3, and apply the division lemma to get
435 = 3 x 145 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 873 and 95595 is 3
Notice that 3 = HCF(435,3) = HCF(438,435) = HCF(873,438) = HCF(95595,873) .
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Frequently Asked Questions on HCF of 873, 95595 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 873, 95595?
Answer: HCF of 873, 95595 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 873, 95595 using Euclid's Algorithm?
Answer: For arbitrary numbers 873, 95595 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.