Highest Common Factor of 8060, 7835 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 8060, 7835 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 8060, 7835 is 5 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 8060, 7835 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 8060, 7835 is 5.
HCF(8060, 7835) = 5
HCF of 8060, 7835 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8060, 7835 is 5.
Highest Common Factor of 8060,7835 is 5
Step 1: Since 8060 > 7835, we apply the division lemma to 8060 and 7835, to get
8060 = 7835 x 1 + 225
Step 2: Since the reminder 7835 ≠ 0, we apply division lemma to 225 and 7835, to get
7835 = 225 x 34 + 185
Step 3: We consider the new divisor 225 and the new remainder 185, and apply the division lemma to get
225 = 185 x 1 + 40
We consider the new divisor 185 and the new remainder 40,and apply the division lemma to get
185 = 40 x 4 + 25
We consider the new divisor 40 and the new remainder 25,and apply the division lemma to get
40 = 25 x 1 + 15
We consider the new divisor 25 and the new remainder 15,and apply the division lemma to get
25 = 15 x 1 + 10
We consider the new divisor 15 and the new remainder 10,and apply the division lemma to get
15 = 10 x 1 + 5
We consider the new divisor 10 and the new remainder 5,and apply the division lemma to get
10 = 5 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 8060 and 7835 is 5
Notice that 5 = HCF(10,5) = HCF(15,10) = HCF(25,15) = HCF(40,25) = HCF(185,40) = HCF(225,185) = HCF(7835,225) = HCF(8060,7835) .
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Frequently Asked Questions on HCF of 8060, 7835 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 8060, 7835?
Answer: HCF of 8060, 7835 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8060, 7835 using Euclid's Algorithm?
Answer: For arbitrary numbers 8060, 7835 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.