Highest Common Factor of 5869, 7239 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 5869, 7239 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5869, 7239 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 5869, 7239 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 5869, 7239 is 1.
HCF(5869, 7239) = 1
HCF of 5869, 7239 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5869, 7239 is 1.
Highest Common Factor of 5869,7239 is 1
Step 1: Since 7239 > 5869, we apply the division lemma to 7239 and 5869, to get
7239 = 5869 x 1 + 1370
Step 2: Since the reminder 5869 ≠ 0, we apply division lemma to 1370 and 5869, to get
5869 = 1370 x 4 + 389
Step 3: We consider the new divisor 1370 and the new remainder 389, and apply the division lemma to get
1370 = 389 x 3 + 203
We consider the new divisor 389 and the new remainder 203,and apply the division lemma to get
389 = 203 x 1 + 186
We consider the new divisor 203 and the new remainder 186,and apply the division lemma to get
203 = 186 x 1 + 17
We consider the new divisor 186 and the new remainder 17,and apply the division lemma to get
186 = 17 x 10 + 16
We consider the new divisor 17 and the new remainder 16,and apply the division lemma to get
17 = 16 x 1 + 1
We consider the new divisor 16 and the new remainder 1,and apply the division lemma to get
16 = 1 x 16 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5869 and 7239 is 1
Notice that 1 = HCF(16,1) = HCF(17,16) = HCF(186,17) = HCF(203,186) = HCF(389,203) = HCF(1370,389) = HCF(5869,1370) = HCF(7239,5869) .
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Frequently Asked Questions on HCF of 5869, 7239 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 5869, 7239?
Answer: HCF of 5869, 7239 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5869, 7239 using Euclid's Algorithm?
Answer: For arbitrary numbers 5869, 7239 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.