Highest Common Factor of 508, 9415 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 508, 9415 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 508, 9415 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 508, 9415 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 508, 9415 is 1.
HCF(508, 9415) = 1
HCF of 508, 9415 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 508, 9415 is 1.
Highest Common Factor of 508,9415 is 1
Step 1: Since 9415 > 508, we apply the division lemma to 9415 and 508, to get
9415 = 508 x 18 + 271
Step 2: Since the reminder 508 ≠ 0, we apply division lemma to 271 and 508, to get
508 = 271 x 1 + 237
Step 3: We consider the new divisor 271 and the new remainder 237, and apply the division lemma to get
271 = 237 x 1 + 34
We consider the new divisor 237 and the new remainder 34,and apply the division lemma to get
237 = 34 x 6 + 33
We consider the new divisor 34 and the new remainder 33,and apply the division lemma to get
34 = 33 x 1 + 1
We consider the new divisor 33 and the new remainder 1,and apply the division lemma to get
33 = 1 x 33 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 508 and 9415 is 1
Notice that 1 = HCF(33,1) = HCF(34,33) = HCF(237,34) = HCF(271,237) = HCF(508,271) = HCF(9415,508) .
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Frequently Asked Questions on HCF of 508, 9415 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 508, 9415?
Answer: HCF of 508, 9415 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 508, 9415 using Euclid's Algorithm?
Answer: For arbitrary numbers 508, 9415 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.