Highest Common Factor of 6470, 5093 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 6470, 5093 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6470, 5093 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 6470, 5093 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 6470, 5093 is 1.
HCF(6470, 5093) = 1
HCF of 6470, 5093 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6470, 5093 is 1.
Highest Common Factor of 6470,5093 is 1
Step 1: Since 6470 > 5093, we apply the division lemma to 6470 and 5093, to get
6470 = 5093 x 1 + 1377
Step 2: Since the reminder 5093 ≠ 0, we apply division lemma to 1377 and 5093, to get
5093 = 1377 x 3 + 962
Step 3: We consider the new divisor 1377 and the new remainder 962, and apply the division lemma to get
1377 = 962 x 1 + 415
We consider the new divisor 962 and the new remainder 415,and apply the division lemma to get
962 = 415 x 2 + 132
We consider the new divisor 415 and the new remainder 132,and apply the division lemma to get
415 = 132 x 3 + 19
We consider the new divisor 132 and the new remainder 19,and apply the division lemma to get
132 = 19 x 6 + 18
We consider the new divisor 19 and the new remainder 18,and apply the division lemma to get
19 = 18 x 1 + 1
We consider the new divisor 18 and the new remainder 1,and apply the division lemma to get
18 = 1 x 18 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6470 and 5093 is 1
Notice that 1 = HCF(18,1) = HCF(19,18) = HCF(132,19) = HCF(415,132) = HCF(962,415) = HCF(1377,962) = HCF(5093,1377) = HCF(6470,5093) .
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Frequently Asked Questions on HCF of 6470, 5093 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 6470, 5093?
Answer: HCF of 6470, 5093 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6470, 5093 using Euclid's Algorithm?
Answer: For arbitrary numbers 6470, 5093 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
