Highest Common Factor of 8719, 9119 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 8719, 9119 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8719, 9119 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 8719, 9119 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 8719, 9119 is 1.
HCF(8719, 9119) = 1
HCF of 8719, 9119 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8719, 9119 is 1.
Highest Common Factor of 8719,9119 is 1
Step 1: Since 9119 > 8719, we apply the division lemma to 9119 and 8719, to get
9119 = 8719 x 1 + 400
Step 2: Since the reminder 8719 ≠ 0, we apply division lemma to 400 and 8719, to get
8719 = 400 x 21 + 319
Step 3: We consider the new divisor 400 and the new remainder 319, and apply the division lemma to get
400 = 319 x 1 + 81
We consider the new divisor 319 and the new remainder 81,and apply the division lemma to get
319 = 81 x 3 + 76
We consider the new divisor 81 and the new remainder 76,and apply the division lemma to get
81 = 76 x 1 + 5
We consider the new divisor 76 and the new remainder 5,and apply the division lemma to get
76 = 5 x 15 + 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 8719 and 9119 is 1
Notice that 1 = HCF(5,1) = HCF(76,5) = HCF(81,76) = HCF(319,81) = HCF(400,319) = HCF(8719,400) = HCF(9119,8719) .
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Frequently Asked Questions on HCF of 8719, 9119 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 8719, 9119?
Answer: HCF of 8719, 9119 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8719, 9119 using Euclid's Algorithm?
Answer: For arbitrary numbers 8719, 9119 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.