Highest Common Factor of 833, 539, 696, 11 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 833, 539, 696, 11 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 833, 539, 696, 11 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 833, 539, 696, 11 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 833, 539, 696, 11 is 1.
HCF(833, 539, 696, 11) = 1
HCF of 833, 539, 696, 11 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 833, 539, 696, 11 is 1.
Highest Common Factor of 833,539,696,11 is 1
Step 1: Since 833 > 539, we apply the division lemma to 833 and 539, to get
833 = 539 x 1 + 294
Step 2: Since the reminder 539 ≠ 0, we apply division lemma to 294 and 539, to get
539 = 294 x 1 + 245
Step 3: We consider the new divisor 294 and the new remainder 245, and apply the division lemma to get
294 = 245 x 1 + 49
We consider the new divisor 245 and the new remainder 49, and apply the division lemma to get
245 = 49 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 49, the HCF of 833 and 539 is 49
Notice that 49 = HCF(245,49) = HCF(294,245) = HCF(539,294) = HCF(833,539) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 696 > 49, we apply the division lemma to 696 and 49, to get
696 = 49 x 14 + 10
Step 2: Since the reminder 49 ≠ 0, we apply division lemma to 10 and 49, to get
49 = 10 x 4 + 9
Step 3: We consider the new divisor 10 and the new remainder 9, and apply the division lemma to get
10 = 9 x 1 + 1
We consider the new divisor 9 and the new remainder 1, and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 49 and 696 is 1
Notice that 1 = HCF(9,1) = HCF(10,9) = HCF(49,10) = HCF(696,49) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 11 > 1, we apply the division lemma to 11 and 1, 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 1 and 11 is 1
Notice that 1 = HCF(11,1) .
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Frequently Asked Questions on HCF of 833, 539, 696, 11 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 833, 539, 696, 11?
Answer: HCF of 833, 539, 696, 11 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 833, 539, 696, 11 using Euclid's Algorithm?
Answer: For arbitrary numbers 833, 539, 696, 11 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.