Highest Common Factor of 575, 3113, 5888 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 575, 3113, 5888 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 575, 3113, 5888 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 575, 3113, 5888 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 575, 3113, 5888 is 1.
HCF(575, 3113, 5888) = 1
HCF of 575, 3113, 5888 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 575, 3113, 5888 is 1.
Highest Common Factor of 575,3113,5888 is 1
Step 1: Since 3113 > 575, we apply the division lemma to 3113 and 575, to get
3113 = 575 x 5 + 238
Step 2: Since the reminder 575 ≠ 0, we apply division lemma to 238 and 575, to get
575 = 238 x 2 + 99
Step 3: We consider the new divisor 238 and the new remainder 99, and apply the division lemma to get
238 = 99 x 2 + 40
We consider the new divisor 99 and the new remainder 40,and apply the division lemma to get
99 = 40 x 2 + 19
We consider the new divisor 40 and the new remainder 19,and apply the division lemma to get
40 = 19 x 2 + 2
We consider the new divisor 19 and the new remainder 2,and apply the division lemma to get
19 = 2 x 9 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 575 and 3113 is 1
Notice that 1 = HCF(2,1) = HCF(19,2) = HCF(40,19) = HCF(99,40) = HCF(238,99) = HCF(575,238) = HCF(3113,575) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 5888 > 1, we apply the division lemma to 5888 and 1, to get
5888 = 1 x 5888 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 5888 is 1
Notice that 1 = HCF(5888,1) .
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Frequently Asked Questions on HCF of 575, 3113, 5888 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 575, 3113, 5888?
Answer: HCF of 575, 3113, 5888 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 575, 3113, 5888 using Euclid's Algorithm?
Answer: For arbitrary numbers 575, 3113, 5888 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
