Highest Common Factor of 909, 672, 366, 171 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 909, 672, 366, 171 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 909, 672, 366, 171 is 3 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 909, 672, 366, 171 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 909, 672, 366, 171 is 3.
HCF(909, 672, 366, 171) = 3
HCF of 909, 672, 366, 171 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 909, 672, 366, 171 is 3.
Highest Common Factor of 909,672,366,171 is 3
Step 1: Since 909 > 672, we apply the division lemma to 909 and 672, to get
909 = 672 x 1 + 237
Step 2: Since the reminder 672 ≠ 0, we apply division lemma to 237 and 672, to get
672 = 237 x 2 + 198
Step 3: We consider the new divisor 237 and the new remainder 198, and apply the division lemma to get
237 = 198 x 1 + 39
We consider the new divisor 198 and the new remainder 39,and apply the division lemma to get
198 = 39 x 5 + 3
We consider the new divisor 39 and the new remainder 3,and apply the division lemma to get
39 = 3 x 13 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 909 and 672 is 3
Notice that 3 = HCF(39,3) = HCF(198,39) = HCF(237,198) = HCF(672,237) = HCF(909,672) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 366 > 3, we apply the division lemma to 366 and 3, to get
366 = 3 x 122 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 3 and 366 is 3
Notice that 3 = HCF(366,3) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 171 > 3, we apply the division lemma to 171 and 3, to get
171 = 3 x 57 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 3 and 171 is 3
Notice that 3 = HCF(171,3) .
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Frequently Asked Questions on HCF of 909, 672, 366, 171 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 909, 672, 366, 171?
Answer: HCF of 909, 672, 366, 171 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 909, 672, 366, 171 using Euclid's Algorithm?
Answer: For arbitrary numbers 909, 672, 366, 171 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.