Highest Common Factor of 361, 210, 831, 557 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 361, 210, 831, 557 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 361, 210, 831, 557 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 361, 210, 831, 557 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 361, 210, 831, 557 is 1.
HCF(361, 210, 831, 557) = 1
HCF of 361, 210, 831, 557 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 361, 210, 831, 557 is 1.
Highest Common Factor of 361,210,831,557 is 1
Step 1: Since 361 > 210, we apply the division lemma to 361 and 210, to get
361 = 210 x 1 + 151
Step 2: Since the reminder 210 ≠ 0, we apply division lemma to 151 and 210, to get
210 = 151 x 1 + 59
Step 3: We consider the new divisor 151 and the new remainder 59, and apply the division lemma to get
151 = 59 x 2 + 33
We consider the new divisor 59 and the new remainder 33,and apply the division lemma to get
59 = 33 x 1 + 26
We consider the new divisor 33 and the new remainder 26,and apply the division lemma to get
33 = 26 x 1 + 7
We consider the new divisor 26 and the new remainder 7,and apply the division lemma to get
26 = 7 x 3 + 5
We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get
7 = 5 x 1 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 361 and 210 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(26,7) = HCF(33,26) = HCF(59,33) = HCF(151,59) = HCF(210,151) = HCF(361,210) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 831 > 1, we apply the division lemma to 831 and 1, to get
831 = 1 x 831 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 831 is 1
Notice that 1 = HCF(831,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 557 > 1, we apply the division lemma to 557 and 1, to get
557 = 1 x 557 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 557 is 1
Notice that 1 = HCF(557,1) .
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Frequently Asked Questions on HCF of 361, 210, 831, 557 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 361, 210, 831, 557?
Answer: HCF of 361, 210, 831, 557 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 361, 210, 831, 557 using Euclid's Algorithm?
Answer: For arbitrary numbers 361, 210, 831, 557 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.