Highest Common Factor of 485, 688, 406 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 485, 688, 406 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 485, 688, 406 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 485, 688, 406 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 485, 688, 406 is 1.
HCF(485, 688, 406) = 1
HCF of 485, 688, 406 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 485, 688, 406 is 1.
Highest Common Factor of 485,688,406 is 1
Step 1: Since 688 > 485, we apply the division lemma to 688 and 485, to get
688 = 485 x 1 + 203
Step 2: Since the reminder 485 ≠ 0, we apply division lemma to 203 and 485, to get
485 = 203 x 2 + 79
Step 3: We consider the new divisor 203 and the new remainder 79, and apply the division lemma to get
203 = 79 x 2 + 45
We consider the new divisor 79 and the new remainder 45,and apply the division lemma to get
79 = 45 x 1 + 34
We consider the new divisor 45 and the new remainder 34,and apply the division lemma to get
45 = 34 x 1 + 11
We consider the new divisor 34 and the new remainder 11,and apply the division lemma to get
34 = 11 x 3 + 1
We consider the new divisor 11 and the new remainder 1,and apply the division lemma to get
11 = 1 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 485 and 688 is 1
Notice that 1 = HCF(11,1) = HCF(34,11) = HCF(45,34) = HCF(79,45) = HCF(203,79) = HCF(485,203) = HCF(688,485) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 406 > 1, we apply the division lemma to 406 and 1, to get
406 = 1 x 406 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 406 is 1
Notice that 1 = HCF(406,1) .
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Frequently Asked Questions on HCF of 485, 688, 406 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 485, 688, 406?
Answer: HCF of 485, 688, 406 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 485, 688, 406 using Euclid's Algorithm?
Answer: For arbitrary numbers 485, 688, 406 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.