Highest Common Factor of 539, 188, 35, 896 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, 188, 35, 896 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 539, 188, 35, 896 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, 188, 35, 896 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, 188, 35, 896 is 1.
HCF(539, 188, 35, 896) = 1
HCF of 539, 188, 35, 896 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, 188, 35, 896 is 1.
Highest Common Factor of 539,188,35,896 is 1
Step 1: Since 539 > 188, we apply the division lemma to 539 and 188, to get
539 = 188 x 2 + 163
Step 2: Since the reminder 188 ≠ 0, we apply division lemma to 163 and 188, to get
188 = 163 x 1 + 25
Step 3: We consider the new divisor 163 and the new remainder 25, and apply the division lemma to get
163 = 25 x 6 + 13
We consider the new divisor 25 and the new remainder 13,and apply the division lemma to get
25 = 13 x 1 + 12
We consider the new divisor 13 and the new remainder 12,and apply the division lemma to get
13 = 12 x 1 + 1
We consider the new divisor 12 and the new remainder 1,and apply the division lemma to get
12 = 1 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 539 and 188 is 1
Notice that 1 = HCF(12,1) = HCF(13,12) = HCF(25,13) = HCF(163,25) = HCF(188,163) = HCF(539,188) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 35 > 1, we apply the division lemma to 35 and 1, to get
35 = 1 x 35 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 35 is 1
Notice that 1 = HCF(35,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 896 > 1, we apply the division lemma to 896 and 1, to get
896 = 1 x 896 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 896 is 1
Notice that 1 = HCF(896,1) .
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Frequently Asked Questions on HCF of 539, 188, 35, 896 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, 188, 35, 896?
Answer: HCF of 539, 188, 35, 896 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 539, 188, 35, 896 using Euclid's Algorithm?
Answer: For arbitrary numbers 539, 188, 35, 896 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.