Highest Common Factor of 550, 979, 186 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 550, 979, 186 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 550, 979, 186 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 550, 979, 186 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 550, 979, 186 is 1.
HCF(550, 979, 186) = 1
HCF of 550, 979, 186 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 550, 979, 186 is 1.
Highest Common Factor of 550,979,186 is 1
Step 1: Since 979 > 550, we apply the division lemma to 979 and 550, to get
979 = 550 x 1 + 429
Step 2: Since the reminder 550 ≠ 0, we apply division lemma to 429 and 550, to get
550 = 429 x 1 + 121
Step 3: We consider the new divisor 429 and the new remainder 121, and apply the division lemma to get
429 = 121 x 3 + 66
We consider the new divisor 121 and the new remainder 66,and apply the division lemma to get
121 = 66 x 1 + 55
We consider the new divisor 66 and the new remainder 55,and apply the division lemma to get
66 = 55 x 1 + 11
We consider the new divisor 55 and the new remainder 11,and apply the division lemma to get
55 = 11 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 11, the HCF of 550 and 979 is 11
Notice that 11 = HCF(55,11) = HCF(66,55) = HCF(121,66) = HCF(429,121) = HCF(550,429) = HCF(979,550) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 186 > 11, we apply the division lemma to 186 and 11, to get
186 = 11 x 16 + 10
Step 2: Since the reminder 11 ≠ 0, we apply division lemma to 10 and 11, to get
11 = 10 x 1 + 1
Step 3: We consider the new divisor 10 and the new remainder 1, and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 11 and 186 is 1
Notice that 1 = HCF(10,1) = HCF(11,10) = HCF(186,11) .
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Frequently Asked Questions on HCF of 550, 979, 186 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 550, 979, 186?
Answer: HCF of 550, 979, 186 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 550, 979, 186 using Euclid's Algorithm?
Answer: For arbitrary numbers 550, 979, 186 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.