Highest Common Factor of 861, 492 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 861, 492 i.e. 123 the largest integer that leaves a remainder zero for all numbers.
HCF of 861, 492 is 123 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 861, 492 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 861, 492 is 123.
HCF(861, 492) = 123
HCF of 861, 492 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 861, 492 is 123.
Highest Common Factor of 861,492 is 123
Step 1: Since 861 > 492, we apply the division lemma to 861 and 492, to get
861 = 492 x 1 + 369
Step 2: Since the reminder 492 ≠ 0, we apply division lemma to 369 and 492, to get
492 = 369 x 1 + 123
Step 3: We consider the new divisor 369 and the new remainder 123, and apply the division lemma to get
369 = 123 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 123, the HCF of 861 and 492 is 123
Notice that 123 = HCF(369,123) = HCF(492,369) = HCF(861,492) .
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Frequently Asked Questions on HCF of 861, 492 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 861, 492?
Answer: HCF of 861, 492 is 123 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 861, 492 using Euclid's Algorithm?
Answer: For arbitrary numbers 861, 492 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.