Highest Common Factor of 526, 842, 600, 12 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 526, 842, 600, 12 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 526, 842, 600, 12 is 2 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 526, 842, 600, 12 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 526, 842, 600, 12 is 2.
HCF(526, 842, 600, 12) = 2
HCF of 526, 842, 600, 12 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 526, 842, 600, 12 is 2.
Highest Common Factor of 526,842,600,12 is 2
Step 1: Since 842 > 526, we apply the division lemma to 842 and 526, to get
842 = 526 x 1 + 316
Step 2: Since the reminder 526 ≠ 0, we apply division lemma to 316 and 526, to get
526 = 316 x 1 + 210
Step 3: We consider the new divisor 316 and the new remainder 210, and apply the division lemma to get
316 = 210 x 1 + 106
We consider the new divisor 210 and the new remainder 106,and apply the division lemma to get
210 = 106 x 1 + 104
We consider the new divisor 106 and the new remainder 104,and apply the division lemma to get
106 = 104 x 1 + 2
We consider the new divisor 104 and the new remainder 2,and apply the division lemma to get
104 = 2 x 52 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 526 and 842 is 2
Notice that 2 = HCF(104,2) = HCF(106,104) = HCF(210,106) = HCF(316,210) = HCF(526,316) = HCF(842,526) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 600 > 2, we apply the division lemma to 600 and 2, to get
600 = 2 x 300 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 600 is 2
Notice that 2 = HCF(600,2) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 12 > 2, we apply the division lemma to 12 and 2, 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 2 and 12 is 2
Notice that 2 = HCF(12,2) .
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Frequently Asked Questions on HCF of 526, 842, 600, 12 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 526, 842, 600, 12?
Answer: HCF of 526, 842, 600, 12 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 526, 842, 600, 12 using Euclid's Algorithm?
Answer: For arbitrary numbers 526, 842, 600, 12 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.