Highest Common Factor of 9070, 2805 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 9070, 2805 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 9070, 2805 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 9070, 2805 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 9070, 2805 is 5.
HCF(9070, 2805) = 5
HCF of 9070, 2805 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9070, 2805 is 5.
Highest Common Factor of 9070,2805 is 5
Step 1: Since 9070 > 2805, we apply the division lemma to 9070 and 2805, to get
9070 = 2805 x 3 + 655
Step 2: Since the reminder 2805 ≠ 0, we apply division lemma to 655 and 2805, to get
2805 = 655 x 4 + 185
Step 3: We consider the new divisor 655 and the new remainder 185, and apply the division lemma to get
655 = 185 x 3 + 100
We consider the new divisor 185 and the new remainder 100,and apply the division lemma to get
185 = 100 x 1 + 85
We consider the new divisor 100 and the new remainder 85,and apply the division lemma to get
100 = 85 x 1 + 15
We consider the new divisor 85 and the new remainder 15,and apply the division lemma to get
85 = 15 x 5 + 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 9070 and 2805 is 5
Notice that 5 = HCF(10,5) = HCF(15,10) = HCF(85,15) = HCF(100,85) = HCF(185,100) = HCF(655,185) = HCF(2805,655) = HCF(9070,2805) .
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Frequently Asked Questions on HCF of 9070, 2805 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 9070, 2805?
Answer: HCF of 9070, 2805 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9070, 2805 using Euclid's Algorithm?
Answer: For arbitrary numbers 9070, 2805 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.