Highest Common Factor of 461, 716, 69 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 461, 716, 69 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 461, 716, 69 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 461, 716, 69 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 461, 716, 69 is 1.
HCF(461, 716, 69) = 1
HCF of 461, 716, 69 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 461, 716, 69 is 1.
Highest Common Factor of 461,716,69 is 1
Step 1: Since 716 > 461, we apply the division lemma to 716 and 461, to get
716 = 461 x 1 + 255
Step 2: Since the reminder 461 ≠ 0, we apply division lemma to 255 and 461, to get
461 = 255 x 1 + 206
Step 3: We consider the new divisor 255 and the new remainder 206, and apply the division lemma to get
255 = 206 x 1 + 49
We consider the new divisor 206 and the new remainder 49,and apply the division lemma to get
206 = 49 x 4 + 10
We consider the new divisor 49 and the new remainder 10,and apply the division lemma to get
49 = 10 x 4 + 9
We consider the new divisor 10 and the new remainder 9,and apply the division lemma to get
10 = 9 x 1 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 461 and 716 is 1
Notice that 1 = HCF(9,1) = HCF(10,9) = HCF(49,10) = HCF(206,49) = HCF(255,206) = HCF(461,255) = HCF(716,461) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 69 > 1, we apply the division lemma to 69 and 1, to get
69 = 1 x 69 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 69 is 1
Notice that 1 = HCF(69,1) .
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Frequently Asked Questions on HCF of 461, 716, 69 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 461, 716, 69?
Answer: HCF of 461, 716, 69 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 461, 716, 69 using Euclid's Algorithm?
Answer: For arbitrary numbers 461, 716, 69 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.