Highest Common Factor of 862, 476, 528, 893 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 862, 476, 528, 893 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 862, 476, 528, 893 is 1 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 862, 476, 528, 893 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 862, 476, 528, 893 is 1.
HCF(862, 476, 528, 893) = 1
HCF of 862, 476, 528, 893 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 862, 476, 528, 893 is 1.
Highest Common Factor of 862,476,528,893 is 1
Step 1: Since 862 > 476, we apply the division lemma to 862 and 476, to get
862 = 476 x 1 + 386
Step 2: Since the reminder 476 ≠ 0, we apply division lemma to 386 and 476, to get
476 = 386 x 1 + 90
Step 3: We consider the new divisor 386 and the new remainder 90, and apply the division lemma to get
386 = 90 x 4 + 26
We consider the new divisor 90 and the new remainder 26,and apply the division lemma to get
90 = 26 x 3 + 12
We consider the new divisor 26 and the new remainder 12,and apply the division lemma to get
26 = 12 x 2 + 2
We consider the new divisor 12 and the new remainder 2,and apply the division lemma to get
12 = 2 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 862 and 476 is 2
Notice that 2 = HCF(12,2) = HCF(26,12) = HCF(90,26) = HCF(386,90) = HCF(476,386) = HCF(862,476) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 528 > 2, we apply the division lemma to 528 and 2, to get
528 = 2 x 264 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 528 is 2
Notice that 2 = HCF(528,2) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 893 > 2, we apply the division lemma to 893 and 2, to get
893 = 2 x 446 + 1
Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2 and 893 is 1
Notice that 1 = HCF(2,1) = HCF(893,2) .
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Frequently Asked Questions on HCF of 862, 476, 528, 893 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 862, 476, 528, 893?
Answer: HCF of 862, 476, 528, 893 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 862, 476, 528, 893 using Euclid's Algorithm?
Answer: For arbitrary numbers 862, 476, 528, 893 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.