Highest Common Factor of 867, 192 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 867, 192 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 867, 192 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 867, 192 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 867, 192 is 3.
HCF(867, 192) = 3
HCF of 867, 192 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 867, 192 is 3.
Highest Common Factor of 867,192 is 3
Step 1: Since 867 > 192, we apply the division lemma to 867 and 192, to get
867 = 192 x 4 + 99
Step 2: Since the reminder 192 ≠ 0, we apply division lemma to 99 and 192, to get
192 = 99 x 1 + 93
Step 3: We consider the new divisor 99 and the new remainder 93, and apply the division lemma to get
99 = 93 x 1 + 6
We consider the new divisor 93 and the new remainder 6,and apply the division lemma to get
93 = 6 x 15 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 867 and 192 is 3
Notice that 3 = HCF(6,3) = HCF(93,6) = HCF(99,93) = HCF(192,99) = HCF(867,192) .
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Frequently Asked Questions on HCF of 867, 192 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 867, 192?
Answer: HCF of 867, 192 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 867, 192 using Euclid's Algorithm?
Answer: For arbitrary numbers 867, 192 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.