Highest Common Factor of 7811, 1716 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 7811, 1716 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7811, 1716 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 7811, 1716 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 7811, 1716 is 1.
HCF(7811, 1716) = 1
HCF of 7811, 1716 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7811, 1716 is 1.
Highest Common Factor of 7811,1716 is 1
Step 1: Since 7811 > 1716, we apply the division lemma to 7811 and 1716, to get
7811 = 1716 x 4 + 947
Step 2: Since the reminder 1716 ≠ 0, we apply division lemma to 947 and 1716, to get
1716 = 947 x 1 + 769
Step 3: We consider the new divisor 947 and the new remainder 769, and apply the division lemma to get
947 = 769 x 1 + 178
We consider the new divisor 769 and the new remainder 178,and apply the division lemma to get
769 = 178 x 4 + 57
We consider the new divisor 178 and the new remainder 57,and apply the division lemma to get
178 = 57 x 3 + 7
We consider the new divisor 57 and the new remainder 7,and apply the division lemma to get
57 = 7 x 8 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7811 and 1716 is 1
Notice that 1 = HCF(7,1) = HCF(57,7) = HCF(178,57) = HCF(769,178) = HCF(947,769) = HCF(1716,947) = HCF(7811,1716) .
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Frequently Asked Questions on HCF of 7811, 1716 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 7811, 1716?
Answer: HCF of 7811, 1716 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7811, 1716 using Euclid's Algorithm?
Answer: For arbitrary numbers 7811, 1716 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.