Highest Common Factor of 532, 996, 910 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 532, 996, 910 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 532, 996, 910 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 532, 996, 910 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 532, 996, 910 is 2.
HCF(532, 996, 910) = 2
HCF of 532, 996, 910 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 532, 996, 910 is 2.
Highest Common Factor of 532,996,910 is 2
Step 1: Since 996 > 532, we apply the division lemma to 996 and 532, to get
996 = 532 x 1 + 464
Step 2: Since the reminder 532 ≠ 0, we apply division lemma to 464 and 532, to get
532 = 464 x 1 + 68
Step 3: We consider the new divisor 464 and the new remainder 68, and apply the division lemma to get
464 = 68 x 6 + 56
We consider the new divisor 68 and the new remainder 56,and apply the division lemma to get
68 = 56 x 1 + 12
We consider the new divisor 56 and the new remainder 12,and apply the division lemma to get
56 = 12 x 4 + 8
We consider the new divisor 12 and the new remainder 8,and apply the division lemma to get
12 = 8 x 1 + 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 532 and 996 is 4
Notice that 4 = HCF(8,4) = HCF(12,8) = HCF(56,12) = HCF(68,56) = HCF(464,68) = HCF(532,464) = HCF(996,532) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 910 > 4, we apply the division lemma to 910 and 4, to get
910 = 4 x 227 + 2
Step 2: Since the reminder 4 ≠ 0, we apply division lemma to 2 and 4, 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 4 and 910 is 2
Notice that 2 = HCF(4,2) = HCF(910,4) .
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Frequently Asked Questions on HCF of 532, 996, 910 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 532, 996, 910?
Answer: HCF of 532, 996, 910 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 532, 996, 910 using Euclid's Algorithm?
Answer: For arbitrary numbers 532, 996, 910 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.