Highest Common Factor of 7924, 8019 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 7924, 8019 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7924, 8019 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 7924, 8019 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 7924, 8019 is 1.
HCF(7924, 8019) = 1
HCF of 7924, 8019 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7924, 8019 is 1.
Highest Common Factor of 7924,8019 is 1
Step 1: Since 8019 > 7924, we apply the division lemma to 8019 and 7924, to get
8019 = 7924 x 1 + 95
Step 2: Since the reminder 7924 ≠ 0, we apply division lemma to 95 and 7924, to get
7924 = 95 x 83 + 39
Step 3: We consider the new divisor 95 and the new remainder 39, and apply the division lemma to get
95 = 39 x 2 + 17
We consider the new divisor 39 and the new remainder 17,and apply the division lemma to get
39 = 17 x 2 + 5
We consider the new divisor 17 and the new remainder 5,and apply the division lemma to get
17 = 5 x 3 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7924 and 8019 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(17,5) = HCF(39,17) = HCF(95,39) = HCF(7924,95) = HCF(8019,7924) .
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Frequently Asked Questions on HCF of 7924, 8019 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 7924, 8019?
Answer: HCF of 7924, 8019 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7924, 8019 using Euclid's Algorithm?
Answer: For arbitrary numbers 7924, 8019 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
