Highest Common Factor of 708, 979, 811 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 708, 979, 811 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 708, 979, 811 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 708, 979, 811 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 708, 979, 811 is 1.
HCF(708, 979, 811) = 1
HCF of 708, 979, 811 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 708, 979, 811 is 1.
Highest Common Factor of 708,979,811 is 1
Step 1: Since 979 > 708, we apply the division lemma to 979 and 708, to get
979 = 708 x 1 + 271
Step 2: Since the reminder 708 ≠ 0, we apply division lemma to 271 and 708, to get
708 = 271 x 2 + 166
Step 3: We consider the new divisor 271 and the new remainder 166, and apply the division lemma to get
271 = 166 x 1 + 105
We consider the new divisor 166 and the new remainder 105,and apply the division lemma to get
166 = 105 x 1 + 61
We consider the new divisor 105 and the new remainder 61,and apply the division lemma to get
105 = 61 x 1 + 44
We consider the new divisor 61 and the new remainder 44,and apply the division lemma to get
61 = 44 x 1 + 17
We consider the new divisor 44 and the new remainder 17,and apply the division lemma to get
44 = 17 x 2 + 10
We consider the new divisor 17 and the new remainder 10,and apply the division lemma to get
17 = 10 x 1 + 7
We consider the new divisor 10 and the new remainder 7,and apply the division lemma to get
10 = 7 x 1 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 708 and 979 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(10,7) = HCF(17,10) = HCF(44,17) = HCF(61,44) = HCF(105,61) = HCF(166,105) = HCF(271,166) = HCF(708,271) = HCF(979,708) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 811 > 1, we apply the division lemma to 811 and 1, to get
811 = 1 x 811 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 811 is 1
Notice that 1 = HCF(811,1) .
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Frequently Asked Questions on HCF of 708, 979, 811 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 708, 979, 811?
Answer: HCF of 708, 979, 811 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 708, 979, 811 using Euclid's Algorithm?
Answer: For arbitrary numbers 708, 979, 811 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
