Highest Common Factor of 539, 638, 672 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 539, 638, 672 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 539, 638, 672 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 539, 638, 672 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 539, 638, 672 is 1.
HCF(539, 638, 672) = 1
HCF of 539, 638, 672 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 539, 638, 672 is 1.
Highest Common Factor of 539,638,672 is 1
Step 1: Since 638 > 539, we apply the division lemma to 638 and 539, to get
638 = 539 x 1 + 99
Step 2: Since the reminder 539 ≠ 0, we apply division lemma to 99 and 539, to get
539 = 99 x 5 + 44
Step 3: We consider the new divisor 99 and the new remainder 44, and apply the division lemma to get
99 = 44 x 2 + 11
We consider the new divisor 44 and the new remainder 11, and apply the division lemma to get
44 = 11 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 11, the HCF of 539 and 638 is 11
Notice that 11 = HCF(44,11) = HCF(99,44) = HCF(539,99) = HCF(638,539) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 672 > 11, we apply the division lemma to 672 and 11, to get
672 = 11 x 61 + 1
Step 2: Since the reminder 11 ≠ 0, we apply division lemma to 1 and 11, 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 11 and 672 is 1
Notice that 1 = HCF(11,1) = HCF(672,11) .
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Frequently Asked Questions on HCF of 539, 638, 672 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 539, 638, 672?
Answer: HCF of 539, 638, 672 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 539, 638, 672 using Euclid's Algorithm?
Answer: For arbitrary numbers 539, 638, 672 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.