Highest Common Factor of 5037, 6435 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 5037, 6435 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 5037, 6435 is 3 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 5037, 6435 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 5037, 6435 is 3.
HCF(5037, 6435) = 3
HCF of 5037, 6435 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5037, 6435 is 3.
Highest Common Factor of 5037,6435 is 3
Step 1: Since 6435 > 5037, we apply the division lemma to 6435 and 5037, to get
6435 = 5037 x 1 + 1398
Step 2: Since the reminder 5037 ≠ 0, we apply division lemma to 1398 and 5037, to get
5037 = 1398 x 3 + 843
Step 3: We consider the new divisor 1398 and the new remainder 843, and apply the division lemma to get
1398 = 843 x 1 + 555
We consider the new divisor 843 and the new remainder 555,and apply the division lemma to get
843 = 555 x 1 + 288
We consider the new divisor 555 and the new remainder 288,and apply the division lemma to get
555 = 288 x 1 + 267
We consider the new divisor 288 and the new remainder 267,and apply the division lemma to get
288 = 267 x 1 + 21
We consider the new divisor 267 and the new remainder 21,and apply the division lemma to get
267 = 21 x 12 + 15
We consider the new divisor 21 and the new remainder 15,and apply the division lemma to get
21 = 15 x 1 + 6
We consider the new divisor 15 and the new remainder 6,and apply the division lemma to get
15 = 6 x 2 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 5037 and 6435 is 3
Notice that 3 = HCF(6,3) = HCF(15,6) = HCF(21,15) = HCF(267,21) = HCF(288,267) = HCF(555,288) = HCF(843,555) = HCF(1398,843) = HCF(5037,1398) = HCF(6435,5037) .
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Frequently Asked Questions on HCF of 5037, 6435 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 5037, 6435?
Answer: HCF of 5037, 6435 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5037, 6435 using Euclid's Algorithm?
Answer: For arbitrary numbers 5037, 6435 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.