Highest Common Factor of 182, 691, 620, 803 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 182, 691, 620, 803 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 182, 691, 620, 803 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 182, 691, 620, 803 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 182, 691, 620, 803 is 1.
HCF(182, 691, 620, 803) = 1
HCF of 182, 691, 620, 803 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 182, 691, 620, 803 is 1.
Highest Common Factor of 182,691,620,803 is 1
Step 1: Since 691 > 182, we apply the division lemma to 691 and 182, to get
691 = 182 x 3 + 145
Step 2: Since the reminder 182 ≠ 0, we apply division lemma to 145 and 182, to get
182 = 145 x 1 + 37
Step 3: We consider the new divisor 145 and the new remainder 37, and apply the division lemma to get
145 = 37 x 3 + 34
We consider the new divisor 37 and the new remainder 34,and apply the division lemma to get
37 = 34 x 1 + 3
We consider the new divisor 34 and the new remainder 3,and apply the division lemma to get
34 = 3 x 11 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 182 and 691 is 1
Notice that 1 = HCF(3,1) = HCF(34,3) = HCF(37,34) = HCF(145,37) = HCF(182,145) = HCF(691,182) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 620 > 1, we apply the division lemma to 620 and 1, to get
620 = 1 x 620 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 620 is 1
Notice that 1 = HCF(620,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 803 > 1, we apply the division lemma to 803 and 1, to get
803 = 1 x 803 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 803 is 1
Notice that 1 = HCF(803,1) .
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Frequently Asked Questions on HCF of 182, 691, 620, 803 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 182, 691, 620, 803?
Answer: HCF of 182, 691, 620, 803 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 182, 691, 620, 803 using Euclid's Algorithm?
Answer: For arbitrary numbers 182, 691, 620, 803 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.