Highest Common Factor of 361, 980, 178 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, 980, 178 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 361, 980, 178 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, 980, 178 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, 980, 178 is 1.
HCF(361, 980, 178) = 1
HCF of 361, 980, 178 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, 980, 178 is 1.
Highest Common Factor of 361,980,178 is 1
Step 1: Since 980 > 361, we apply the division lemma to 980 and 361, to get
980 = 361 x 2 + 258
Step 2: Since the reminder 361 ≠ 0, we apply division lemma to 258 and 361, to get
361 = 258 x 1 + 103
Step 3: We consider the new divisor 258 and the new remainder 103, and apply the division lemma to get
258 = 103 x 2 + 52
We consider the new divisor 103 and the new remainder 52,and apply the division lemma to get
103 = 52 x 1 + 51
We consider the new divisor 52 and the new remainder 51,and apply the division lemma to get
52 = 51 x 1 + 1
We consider the new divisor 51 and the new remainder 1,and apply the division lemma to get
51 = 1 x 51 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 361 and 980 is 1
Notice that 1 = HCF(51,1) = HCF(52,51) = HCF(103,52) = HCF(258,103) = HCF(361,258) = HCF(980,361) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 178 > 1, we apply the division lemma to 178 and 1, to get
178 = 1 x 178 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 178 is 1
Notice that 1 = HCF(178,1) .
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Frequently Asked Questions on HCF of 361, 980, 178 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, 980, 178?
Answer: HCF of 361, 980, 178 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 361, 980, 178 using Euclid's Algorithm?
Answer: For arbitrary numbers 361, 980, 178 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
