Highest Common Factor of 530, 836, 990, 936 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 530, 836, 990, 936 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 530, 836, 990, 936 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 530, 836, 990, 936 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 530, 836, 990, 936 is 2.
HCF(530, 836, 990, 936) = 2
HCF of 530, 836, 990, 936 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 530, 836, 990, 936 is 2.
Highest Common Factor of 530,836,990,936 is 2
Step 1: Since 836 > 530, we apply the division lemma to 836 and 530, to get
836 = 530 x 1 + 306
Step 2: Since the reminder 530 ≠ 0, we apply division lemma to 306 and 530, to get
530 = 306 x 1 + 224
Step 3: We consider the new divisor 306 and the new remainder 224, and apply the division lemma to get
306 = 224 x 1 + 82
We consider the new divisor 224 and the new remainder 82,and apply the division lemma to get
224 = 82 x 2 + 60
We consider the new divisor 82 and the new remainder 60,and apply the division lemma to get
82 = 60 x 1 + 22
We consider the new divisor 60 and the new remainder 22,and apply the division lemma to get
60 = 22 x 2 + 16
We consider the new divisor 22 and the new remainder 16,and apply the division lemma to get
22 = 16 x 1 + 6
We consider the new divisor 16 and the new remainder 6,and apply the division lemma to get
16 = 6 x 2 + 4
We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get
6 = 4 x 1 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 530 and 836 is 2
Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(16,6) = HCF(22,16) = HCF(60,22) = HCF(82,60) = HCF(224,82) = HCF(306,224) = HCF(530,306) = HCF(836,530) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 990 > 2, we apply the division lemma to 990 and 2, to get
990 = 2 x 495 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 990 is 2
Notice that 2 = HCF(990,2) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 936 > 2, we apply the division lemma to 936 and 2, to get
936 = 2 x 468 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 936 is 2
Notice that 2 = HCF(936,2) .
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Frequently Asked Questions on HCF of 530, 836, 990, 936 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 530, 836, 990, 936?
Answer: HCF of 530, 836, 990, 936 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 530, 836, 990, 936 using Euclid's Algorithm?
Answer: For arbitrary numbers 530, 836, 990, 936 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.