Highest Common Factor of 8251, 5069 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 8251, 5069 i.e. 37 the largest integer that leaves a remainder zero for all numbers.
HCF of 8251, 5069 is 37 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 8251, 5069 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 8251, 5069 is 37.
HCF(8251, 5069) = 37
HCF of 8251, 5069 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8251, 5069 is 37.
Highest Common Factor of 8251,5069 is 37
Step 1: Since 8251 > 5069, we apply the division lemma to 8251 and 5069, to get
8251 = 5069 x 1 + 3182
Step 2: Since the reminder 5069 ≠ 0, we apply division lemma to 3182 and 5069, to get
5069 = 3182 x 1 + 1887
Step 3: We consider the new divisor 3182 and the new remainder 1887, and apply the division lemma to get
3182 = 1887 x 1 + 1295
We consider the new divisor 1887 and the new remainder 1295,and apply the division lemma to get
1887 = 1295 x 1 + 592
We consider the new divisor 1295 and the new remainder 592,and apply the division lemma to get
1295 = 592 x 2 + 111
We consider the new divisor 592 and the new remainder 111,and apply the division lemma to get
592 = 111 x 5 + 37
We consider the new divisor 111 and the new remainder 37,and apply the division lemma to get
111 = 37 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 37, the HCF of 8251 and 5069 is 37
Notice that 37 = HCF(111,37) = HCF(592,111) = HCF(1295,592) = HCF(1887,1295) = HCF(3182,1887) = HCF(5069,3182) = HCF(8251,5069) .
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Frequently Asked Questions on HCF of 8251, 5069 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 8251, 5069?
Answer: HCF of 8251, 5069 is 37 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8251, 5069 using Euclid's Algorithm?
Answer: For arbitrary numbers 8251, 5069 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.