Highest Common Factor of 575, 4973, 3251 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, 4973, 3251 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 575, 4973, 3251 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, 4973, 3251 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, 4973, 3251 is 1.
HCF(575, 4973, 3251) = 1
HCF of 575, 4973, 3251 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, 4973, 3251 is 1.
Highest Common Factor of 575,4973,3251 is 1
Step 1: Since 4973 > 575, we apply the division lemma to 4973 and 575, to get
4973 = 575 x 8 + 373
Step 2: Since the reminder 575 ≠ 0, we apply division lemma to 373 and 575, to get
575 = 373 x 1 + 202
Step 3: We consider the new divisor 373 and the new remainder 202, and apply the division lemma to get
373 = 202 x 1 + 171
We consider the new divisor 202 and the new remainder 171,and apply the division lemma to get
202 = 171 x 1 + 31
We consider the new divisor 171 and the new remainder 31,and apply the division lemma to get
171 = 31 x 5 + 16
We consider the new divisor 31 and the new remainder 16,and apply the division lemma to get
31 = 16 x 1 + 15
We consider the new divisor 16 and the new remainder 15,and apply the division lemma to get
16 = 15 x 1 + 1
We consider the new divisor 15 and the new remainder 1,and apply the division lemma to get
15 = 1 x 15 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 575 and 4973 is 1
Notice that 1 = HCF(15,1) = HCF(16,15) = HCF(31,16) = HCF(171,31) = HCF(202,171) = HCF(373,202) = HCF(575,373) = HCF(4973,575) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 3251 > 1, we apply the division lemma to 3251 and 1, to get
3251 = 1 x 3251 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 3251 is 1
Notice that 1 = HCF(3251,1) .
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Frequently Asked Questions on HCF of 575, 4973, 3251 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, 4973, 3251?
Answer: HCF of 575, 4973, 3251 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 575, 4973, 3251 using Euclid's Algorithm?
Answer: For arbitrary numbers 575, 4973, 3251 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
