Highest Common Factor of 1502, 8707 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 1502, 8707 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1502, 8707 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 1502, 8707 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 1502, 8707 is 1.
HCF(1502, 8707) = 1
HCF of 1502, 8707 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1502, 8707 is 1.
Highest Common Factor of 1502,8707 is 1
Step 1: Since 8707 > 1502, we apply the division lemma to 8707 and 1502, to get
8707 = 1502 x 5 + 1197
Step 2: Since the reminder 1502 ≠ 0, we apply division lemma to 1197 and 1502, to get
1502 = 1197 x 1 + 305
Step 3: We consider the new divisor 1197 and the new remainder 305, and apply the division lemma to get
1197 = 305 x 3 + 282
We consider the new divisor 305 and the new remainder 282,and apply the division lemma to get
305 = 282 x 1 + 23
We consider the new divisor 282 and the new remainder 23,and apply the division lemma to get
282 = 23 x 12 + 6
We consider the new divisor 23 and the new remainder 6,and apply the division lemma to get
23 = 6 x 3 + 5
We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get
6 = 5 x 1 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1502 and 8707 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(23,6) = HCF(282,23) = HCF(305,282) = HCF(1197,305) = HCF(1502,1197) = HCF(8707,1502) .
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Frequently Asked Questions on HCF of 1502, 8707 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 1502, 8707?
Answer: HCF of 1502, 8707 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1502, 8707 using Euclid's Algorithm?
Answer: For arbitrary numbers 1502, 8707 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.