Highest Common Factor of 9807, 8768 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 9807, 8768 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9807, 8768 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 9807, 8768 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 9807, 8768 is 1.
HCF(9807, 8768) = 1
HCF of 9807, 8768 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9807, 8768 is 1.
Highest Common Factor of 9807,8768 is 1
Step 1: Since 9807 > 8768, we apply the division lemma to 9807 and 8768, to get
9807 = 8768 x 1 + 1039
Step 2: Since the reminder 8768 ≠ 0, we apply division lemma to 1039 and 8768, to get
8768 = 1039 x 8 + 456
Step 3: We consider the new divisor 1039 and the new remainder 456, and apply the division lemma to get
1039 = 456 x 2 + 127
We consider the new divisor 456 and the new remainder 127,and apply the division lemma to get
456 = 127 x 3 + 75
We consider the new divisor 127 and the new remainder 75,and apply the division lemma to get
127 = 75 x 1 + 52
We consider the new divisor 75 and the new remainder 52,and apply the division lemma to get
75 = 52 x 1 + 23
We consider the new divisor 52 and the new remainder 23,and apply the division lemma to get
52 = 23 x 2 + 6
We consider the new divisor 23 and the new remainder 6,and apply the division lemma to get
23 = 6 x 3 + 5
We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get
6 = 5 x 1 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9807 and 8768 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(23,6) = HCF(52,23) = HCF(75,52) = HCF(127,75) = HCF(456,127) = HCF(1039,456) = HCF(8768,1039) = HCF(9807,8768) .
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Frequently Asked Questions on HCF of 9807, 8768 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 9807, 8768?
Answer: HCF of 9807, 8768 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9807, 8768 using Euclid's Algorithm?
Answer: For arbitrary numbers 9807, 8768 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.