Highest Common Factor of 8570, 9410 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 8570, 9410 i.e. 10 the largest integer that leaves a remainder zero for all numbers.
HCF of 8570, 9410 is 10 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 8570, 9410 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 8570, 9410 is 10.
HCF(8570, 9410) = 10
HCF of 8570, 9410 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8570, 9410 is 10.
Highest Common Factor of 8570,9410 is 10
Step 1: Since 9410 > 8570, we apply the division lemma to 9410 and 8570, to get
9410 = 8570 x 1 + 840
Step 2: Since the reminder 8570 ≠ 0, we apply division lemma to 840 and 8570, to get
8570 = 840 x 10 + 170
Step 3: We consider the new divisor 840 and the new remainder 170, and apply the division lemma to get
840 = 170 x 4 + 160
We consider the new divisor 170 and the new remainder 160,and apply the division lemma to get
170 = 160 x 1 + 10
We consider the new divisor 160 and the new remainder 10,and apply the division lemma to get
160 = 10 x 16 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 10, the HCF of 8570 and 9410 is 10
Notice that 10 = HCF(160,10) = HCF(170,160) = HCF(840,170) = HCF(8570,840) = HCF(9410,8570) .
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Frequently Asked Questions on HCF of 8570, 9410 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 8570, 9410?
Answer: HCF of 8570, 9410 is 10 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8570, 9410 using Euclid's Algorithm?
Answer: For arbitrary numbers 8570, 9410 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.