Highest Common Factor of 931, 355, 549 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 931, 355, 549 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 931, 355, 549 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 931, 355, 549 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 931, 355, 549 is 1.
HCF(931, 355, 549) = 1
HCF of 931, 355, 549 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 931, 355, 549 is 1.
Highest Common Factor of 931,355,549 is 1
Step 1: Since 931 > 355, we apply the division lemma to 931 and 355, to get
931 = 355 x 2 + 221
Step 2: Since the reminder 355 ≠ 0, we apply division lemma to 221 and 355, to get
355 = 221 x 1 + 134
Step 3: We consider the new divisor 221 and the new remainder 134, and apply the division lemma to get
221 = 134 x 1 + 87
We consider the new divisor 134 and the new remainder 87,and apply the division lemma to get
134 = 87 x 1 + 47
We consider the new divisor 87 and the new remainder 47,and apply the division lemma to get
87 = 47 x 1 + 40
We consider the new divisor 47 and the new remainder 40,and apply the division lemma to get
47 = 40 x 1 + 7
We consider the new divisor 40 and the new remainder 7,and apply the division lemma to get
40 = 7 x 5 + 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 931 and 355 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(40,7) = HCF(47,40) = HCF(87,47) = HCF(134,87) = HCF(221,134) = HCF(355,221) = HCF(931,355) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 549 > 1, we apply the division lemma to 549 and 1, to get
549 = 1 x 549 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 549 is 1
Notice that 1 = HCF(549,1) .
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Frequently Asked Questions on HCF of 931, 355, 549 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 931, 355, 549?
Answer: HCF of 931, 355, 549 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 931, 355, 549 using Euclid's Algorithm?
Answer: For arbitrary numbers 931, 355, 549 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
