Highest Common Factor of 6845, 502 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 6845, 502 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6845, 502 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 6845, 502 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 6845, 502 is 1.
HCF(6845, 502) = 1
HCF of 6845, 502 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6845, 502 is 1.
Highest Common Factor of 6845,502 is 1
Step 1: Since 6845 > 502, we apply the division lemma to 6845 and 502, to get
6845 = 502 x 13 + 319
Step 2: Since the reminder 502 ≠ 0, we apply division lemma to 319 and 502, to get
502 = 319 x 1 + 183
Step 3: We consider the new divisor 319 and the new remainder 183, and apply the division lemma to get
319 = 183 x 1 + 136
We consider the new divisor 183 and the new remainder 136,and apply the division lemma to get
183 = 136 x 1 + 47
We consider the new divisor 136 and the new remainder 47,and apply the division lemma to get
136 = 47 x 2 + 42
We consider the new divisor 47 and the new remainder 42,and apply the division lemma to get
47 = 42 x 1 + 5
We consider the new divisor 42 and the new remainder 5,and apply the division lemma to get
42 = 5 x 8 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6845 and 502 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(42,5) = HCF(47,42) = HCF(136,47) = HCF(183,136) = HCF(319,183) = HCF(502,319) = HCF(6845,502) .
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Frequently Asked Questions on HCF of 6845, 502 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 6845, 502?
Answer: HCF of 6845, 502 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6845, 502 using Euclid's Algorithm?
Answer: For arbitrary numbers 6845, 502 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
