Highest Common Factor of 835, 597, 182 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 835, 597, 182 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 835, 597, 182 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 835, 597, 182 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 835, 597, 182 is 1.
HCF(835, 597, 182) = 1
HCF of 835, 597, 182 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 835, 597, 182 is 1.
Highest Common Factor of 835,597,182 is 1
Step 1: Since 835 > 597, we apply the division lemma to 835 and 597, to get
835 = 597 x 1 + 238
Step 2: Since the reminder 597 ≠ 0, we apply division lemma to 238 and 597, to get
597 = 238 x 2 + 121
Step 3: We consider the new divisor 238 and the new remainder 121, and apply the division lemma to get
238 = 121 x 1 + 117
We consider the new divisor 121 and the new remainder 117,and apply the division lemma to get
121 = 117 x 1 + 4
We consider the new divisor 117 and the new remainder 4,and apply the division lemma to get
117 = 4 x 29 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 835 and 597 is 1
Notice that 1 = HCF(4,1) = HCF(117,4) = HCF(121,117) = HCF(238,121) = HCF(597,238) = HCF(835,597) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 182 > 1, we apply the division lemma to 182 and 1, to get
182 = 1 x 182 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 182 is 1
Notice that 1 = HCF(182,1) .
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Frequently Asked Questions on HCF of 835, 597, 182 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 835, 597, 182?
Answer: HCF of 835, 597, 182 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 835, 597, 182 using Euclid's Algorithm?
Answer: For arbitrary numbers 835, 597, 182 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
