Highest Common Factor of 4871, 9510 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 4871, 9510 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4871, 9510 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 4871, 9510 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 4871, 9510 is 1.
HCF(4871, 9510) = 1
HCF of 4871, 9510 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4871, 9510 is 1.
Highest Common Factor of 4871,9510 is 1
Step 1: Since 9510 > 4871, we apply the division lemma to 9510 and 4871, to get
9510 = 4871 x 1 + 4639
Step 2: Since the reminder 4871 ≠ 0, we apply division lemma to 4639 and 4871, to get
4871 = 4639 x 1 + 232
Step 3: We consider the new divisor 4639 and the new remainder 232, and apply the division lemma to get
4639 = 232 x 19 + 231
We consider the new divisor 232 and the new remainder 231,and apply the division lemma to get
232 = 231 x 1 + 1
We consider the new divisor 231 and the new remainder 1,and apply the division lemma to get
231 = 1 x 231 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4871 and 9510 is 1
Notice that 1 = HCF(231,1) = HCF(232,231) = HCF(4639,232) = HCF(4871,4639) = HCF(9510,4871) .
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Frequently Asked Questions on HCF of 4871, 9510 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 4871, 9510?
Answer: HCF of 4871, 9510 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4871, 9510 using Euclid's Algorithm?
Answer: For arbitrary numbers 4871, 9510 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.