Highest Common Factor of 892, 564 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, 564 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 892, 564 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, 564 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, 564 is 4.
HCF(892, 564) = 4
HCF of 892, 564 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, 564 is 4.
Highest Common Factor of 892,564 is 4
Step 1: Since 892 > 564, we apply the division lemma to 892 and 564, to get
892 = 564 x 1 + 328
Step 2: Since the reminder 564 ≠ 0, we apply division lemma to 328 and 564, to get
564 = 328 x 1 + 236
Step 3: We consider the new divisor 328 and the new remainder 236, and apply the division lemma to get
328 = 236 x 1 + 92
We consider the new divisor 236 and the new remainder 92,and apply the division lemma to get
236 = 92 x 2 + 52
We consider the new divisor 92 and the new remainder 52,and apply the division lemma to get
92 = 52 x 1 + 40
We consider the new divisor 52 and the new remainder 40,and apply the division lemma to get
52 = 40 x 1 + 12
We consider the new divisor 40 and the new remainder 12,and apply the division lemma to get
40 = 12 x 3 + 4
We consider the new divisor 12 and the new remainder 4,and apply the division lemma to get
12 = 4 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 892 and 564 is 4
Notice that 4 = HCF(12,4) = HCF(40,12) = HCF(52,40) = HCF(92,52) = HCF(236,92) = HCF(328,236) = HCF(564,328) = HCF(892,564) .
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Frequently Asked Questions on HCF of 892, 564 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, 564?
Answer: HCF of 892, 564 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 892, 564 using Euclid's Algorithm?
Answer: For arbitrary numbers 892, 564 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.