Highest Common Factor of 892, 12668 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 892, 12668 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 892, 12668 is 4 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 892, 12668 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 892, 12668 is 4.
HCF(892, 12668) = 4
HCF of 892, 12668 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 892, 12668 is 4.
Highest Common Factor of 892,12668 is 4
Step 1: Since 12668 > 892, we apply the division lemma to 12668 and 892, to get
12668 = 892 x 14 + 180
Step 2: Since the reminder 892 ≠ 0, we apply division lemma to 180 and 892, to get
892 = 180 x 4 + 172
Step 3: We consider the new divisor 180 and the new remainder 172, and apply the division lemma to get
180 = 172 x 1 + 8
We consider the new divisor 172 and the new remainder 8,and apply the division lemma to get
172 = 8 x 21 + 4
We consider the new divisor 8 and the new remainder 4,and apply the division lemma to get
8 = 4 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 892 and 12668 is 4
Notice that 4 = HCF(8,4) = HCF(172,8) = HCF(180,172) = HCF(892,180) = HCF(12668,892) .
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Frequently Asked Questions on HCF of 892, 12668 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 892, 12668?
Answer: HCF of 892, 12668 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 892, 12668 using Euclid's Algorithm?
Answer: For arbitrary numbers 892, 12668 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.