Highest Common Factor of 532, 665, 676 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, 665, 676 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 532, 665, 676 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 532, 665, 676 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, 665, 676 is 1.
HCF(532, 665, 676) = 1
HCF of 532, 665, 676 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, 665, 676 is 1.
Highest Common Factor of 532,665,676 is 1
Step 1: Since 665 > 532, we apply the division lemma to 665 and 532, to get
665 = 532 x 1 + 133
Step 2: Since the reminder 532 ≠ 0, we apply division lemma to 133 and 532, to get
532 = 133 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 133, the HCF of 532 and 665 is 133
Notice that 133 = HCF(532,133) = HCF(665,532) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 676 > 133, we apply the division lemma to 676 and 133, to get
676 = 133 x 5 + 11
Step 2: Since the reminder 133 ≠ 0, we apply division lemma to 11 and 133, to get
133 = 11 x 12 + 1
Step 3: We consider the new divisor 11 and the new remainder 1, and apply the division lemma to get
11 = 1 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 133 and 676 is 1
Notice that 1 = HCF(11,1) = HCF(133,11) = HCF(676,133) .
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Frequently Asked Questions on HCF of 532, 665, 676 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, 665, 676?
Answer: HCF of 532, 665, 676 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 532, 665, 676 using Euclid's Algorithm?
Answer: For arbitrary numbers 532, 665, 676 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.