Highest Common Factor of 532, 678, 844, 32 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, 678, 844, 32 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 532, 678, 844, 32 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, 678, 844, 32 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, 678, 844, 32 is 2.
HCF(532, 678, 844, 32) = 2
HCF of 532, 678, 844, 32 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, 678, 844, 32 is 2.
Highest Common Factor of 532,678,844,32 is 2
Step 1: Since 678 > 532, we apply the division lemma to 678 and 532, to get
678 = 532 x 1 + 146
Step 2: Since the reminder 532 ≠ 0, we apply division lemma to 146 and 532, to get
532 = 146 x 3 + 94
Step 3: We consider the new divisor 146 and the new remainder 94, and apply the division lemma to get
146 = 94 x 1 + 52
We consider the new divisor 94 and the new remainder 52,and apply the division lemma to get
94 = 52 x 1 + 42
We consider the new divisor 52 and the new remainder 42,and apply the division lemma to get
52 = 42 x 1 + 10
We consider the new divisor 42 and the new remainder 10,and apply the division lemma to get
42 = 10 x 4 + 2
We consider the new divisor 10 and the new remainder 2,and apply the division lemma to get
10 = 2 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 532 and 678 is 2
Notice that 2 = HCF(10,2) = HCF(42,10) = HCF(52,42) = HCF(94,52) = HCF(146,94) = HCF(532,146) = HCF(678,532) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 844 > 2, we apply the division lemma to 844 and 2, to get
844 = 2 x 422 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 844 is 2
Notice that 2 = HCF(844,2) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 32 > 2, we apply the division lemma to 32 and 2, to get
32 = 2 x 16 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 32 is 2
Notice that 2 = HCF(32,2) .
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Frequently Asked Questions on HCF of 532, 678, 844, 32 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, 678, 844, 32?
Answer: HCF of 532, 678, 844, 32 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 532, 678, 844, 32 using Euclid's Algorithm?
Answer: For arbitrary numbers 532, 678, 844, 32 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.