Highest Common Factor of 7615, 8034 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 7615, 8034 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7615, 8034 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 7615, 8034 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 7615, 8034 is 1.
HCF(7615, 8034) = 1
HCF of 7615, 8034 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7615, 8034 is 1.
Highest Common Factor of 7615,8034 is 1
Step 1: Since 8034 > 7615, we apply the division lemma to 8034 and 7615, to get
8034 = 7615 x 1 + 419
Step 2: Since the reminder 7615 ≠ 0, we apply division lemma to 419 and 7615, to get
7615 = 419 x 18 + 73
Step 3: We consider the new divisor 419 and the new remainder 73, and apply the division lemma to get
419 = 73 x 5 + 54
We consider the new divisor 73 and the new remainder 54,and apply the division lemma to get
73 = 54 x 1 + 19
We consider the new divisor 54 and the new remainder 19,and apply the division lemma to get
54 = 19 x 2 + 16
We consider the new divisor 19 and the new remainder 16,and apply the division lemma to get
19 = 16 x 1 + 3
We consider the new divisor 16 and the new remainder 3,and apply the division lemma to get
16 = 3 x 5 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7615 and 8034 is 1
Notice that 1 = HCF(3,1) = HCF(16,3) = HCF(19,16) = HCF(54,19) = HCF(73,54) = HCF(419,73) = HCF(7615,419) = HCF(8034,7615) .
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Frequently Asked Questions on HCF of 7615, 8034 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 7615, 8034?
Answer: HCF of 7615, 8034 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7615, 8034 using Euclid's Algorithm?
Answer: For arbitrary numbers 7615, 8034 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.