Highest Common Factor of 1515, 6346 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 1515, 6346 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1515, 6346 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 1515, 6346 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 1515, 6346 is 1.
HCF(1515, 6346) = 1
HCF of 1515, 6346 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1515, 6346 is 1.
Highest Common Factor of 1515,6346 is 1
Step 1: Since 6346 > 1515, we apply the division lemma to 6346 and 1515, to get
6346 = 1515 x 4 + 286
Step 2: Since the reminder 1515 ≠ 0, we apply division lemma to 286 and 1515, to get
1515 = 286 x 5 + 85
Step 3: We consider the new divisor 286 and the new remainder 85, and apply the division lemma to get
286 = 85 x 3 + 31
We consider the new divisor 85 and the new remainder 31,and apply the division lemma to get
85 = 31 x 2 + 23
We consider the new divisor 31 and the new remainder 23,and apply the division lemma to get
31 = 23 x 1 + 8
We consider the new divisor 23 and the new remainder 8,and apply the division lemma to get
23 = 8 x 2 + 7
We consider the new divisor 8 and the new remainder 7,and apply the division lemma to get
8 = 7 x 1 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1515 and 6346 is 1
Notice that 1 = HCF(7,1) = HCF(8,7) = HCF(23,8) = HCF(31,23) = HCF(85,31) = HCF(286,85) = HCF(1515,286) = HCF(6346,1515) .
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Frequently Asked Questions on HCF of 1515, 6346 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 1515, 6346?
Answer: HCF of 1515, 6346 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1515, 6346 using Euclid's Algorithm?
Answer: For arbitrary numbers 1515, 6346 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
