Highest Common Factor of 5036, 9419, 75345 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 5036, 9419, 75345 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5036, 9419, 75345 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 5036, 9419, 75345 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 5036, 9419, 75345 is 1.
HCF(5036, 9419, 75345) = 1
HCF of 5036, 9419, 75345 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5036, 9419, 75345 is 1.
Highest Common Factor of 5036,9419,75345 is 1
Step 1: Since 9419 > 5036, we apply the division lemma to 9419 and 5036, to get
9419 = 5036 x 1 + 4383
Step 2: Since the reminder 5036 ≠ 0, we apply division lemma to 4383 and 5036, to get
5036 = 4383 x 1 + 653
Step 3: We consider the new divisor 4383 and the new remainder 653, and apply the division lemma to get
4383 = 653 x 6 + 465
We consider the new divisor 653 and the new remainder 465,and apply the division lemma to get
653 = 465 x 1 + 188
We consider the new divisor 465 and the new remainder 188,and apply the division lemma to get
465 = 188 x 2 + 89
We consider the new divisor 188 and the new remainder 89,and apply the division lemma to get
188 = 89 x 2 + 10
We consider the new divisor 89 and the new remainder 10,and apply the division lemma to get
89 = 10 x 8 + 9
We consider the new divisor 10 and the new remainder 9,and apply the division lemma to get
10 = 9 x 1 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5036 and 9419 is 1
Notice that 1 = HCF(9,1) = HCF(10,9) = HCF(89,10) = HCF(188,89) = HCF(465,188) = HCF(653,465) = HCF(4383,653) = HCF(5036,4383) = HCF(9419,5036) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 75345 > 1, we apply the division lemma to 75345 and 1, to get
75345 = 1 x 75345 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 75345 is 1
Notice that 1 = HCF(75345,1) .
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Frequently Asked Questions on HCF of 5036, 9419, 75345 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 5036, 9419, 75345?
Answer: HCF of 5036, 9419, 75345 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5036, 9419, 75345 using Euclid's Algorithm?
Answer: For arbitrary numbers 5036, 9419, 75345 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
