Highest Common Factor of 8770, 9799 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 8770, 9799 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8770, 9799 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 8770, 9799 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 8770, 9799 is 1.
HCF(8770, 9799) = 1
HCF of 8770, 9799 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8770, 9799 is 1.
Highest Common Factor of 8770,9799 is 1
Step 1: Since 9799 > 8770, we apply the division lemma to 9799 and 8770, to get
9799 = 8770 x 1 + 1029
Step 2: Since the reminder 8770 ≠ 0, we apply division lemma to 1029 and 8770, to get
8770 = 1029 x 8 + 538
Step 3: We consider the new divisor 1029 and the new remainder 538, and apply the division lemma to get
1029 = 538 x 1 + 491
We consider the new divisor 538 and the new remainder 491,and apply the division lemma to get
538 = 491 x 1 + 47
We consider the new divisor 491 and the new remainder 47,and apply the division lemma to get
491 = 47 x 10 + 21
We consider the new divisor 47 and the new remainder 21,and apply the division lemma to get
47 = 21 x 2 + 5
We consider the new divisor 21 and the new remainder 5,and apply the division lemma to get
21 = 5 x 4 + 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 8770 and 9799 is 1
Notice that 1 = HCF(5,1) = HCF(21,5) = HCF(47,21) = HCF(491,47) = HCF(538,491) = HCF(1029,538) = HCF(8770,1029) = HCF(9799,8770) .
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Frequently Asked Questions on HCF of 8770, 9799 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 8770, 9799?
Answer: HCF of 8770, 9799 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8770, 9799 using Euclid's Algorithm?
Answer: For arbitrary numbers 8770, 9799 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.