Highest Common Factor of 484, 735, 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 484, 735, 171 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 484, 735, 171 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 484, 735, 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 484, 735, 171 is 1.
HCF(484, 735, 171) = 1
HCF of 484, 735, 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 484, 735, 171 is 1.
Highest Common Factor of 484,735,171 is 1
Step 1: Since 735 > 484, we apply the division lemma to 735 and 484, to get
735 = 484 x 1 + 251
Step 2: Since the reminder 484 ≠ 0, we apply division lemma to 251 and 484, to get
484 = 251 x 1 + 233
Step 3: We consider the new divisor 251 and the new remainder 233, and apply the division lemma to get
251 = 233 x 1 + 18
We consider the new divisor 233 and the new remainder 18,and apply the division lemma to get
233 = 18 x 12 + 17
We consider the new divisor 18 and the new remainder 17,and apply the division lemma to get
18 = 17 x 1 + 1
We consider the new divisor 17 and the new remainder 1,and apply the division lemma to get
17 = 1 x 17 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 484 and 735 is 1
Notice that 1 = HCF(17,1) = HCF(18,17) = HCF(233,18) = HCF(251,233) = HCF(484,251) = HCF(735,484) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 171 > 1, we apply the division lemma to 171 and 1, to get
171 = 1 x 171 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 171 is 1
Notice that 1 = HCF(171,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 484, 735, 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 484, 735, 171?
Answer: HCF of 484, 735, 171 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 484, 735, 171 using Euclid's Algorithm?
Answer: For arbitrary numbers 484, 735, 171 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.