Highest Common Factor of 902, 571, 808 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 902, 571, 808 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 902, 571, 808 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 902, 571, 808 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 902, 571, 808 is 1.
HCF(902, 571, 808) = 1
HCF of 902, 571, 808 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 902, 571, 808 is 1.
Highest Common Factor of 902,571,808 is 1
Step 1: Since 902 > 571, we apply the division lemma to 902 and 571, to get
902 = 571 x 1 + 331
Step 2: Since the reminder 571 ≠ 0, we apply division lemma to 331 and 571, to get
571 = 331 x 1 + 240
Step 3: We consider the new divisor 331 and the new remainder 240, and apply the division lemma to get
331 = 240 x 1 + 91
We consider the new divisor 240 and the new remainder 91,and apply the division lemma to get
240 = 91 x 2 + 58
We consider the new divisor 91 and the new remainder 58,and apply the division lemma to get
91 = 58 x 1 + 33
We consider the new divisor 58 and the new remainder 33,and apply the division lemma to get
58 = 33 x 1 + 25
We consider the new divisor 33 and the new remainder 25,and apply the division lemma to get
33 = 25 x 1 + 8
We consider the new divisor 25 and the new remainder 8,and apply the division lemma to get
25 = 8 x 3 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 902 and 571 is 1
Notice that 1 = HCF(8,1) = HCF(25,8) = HCF(33,25) = HCF(58,33) = HCF(91,58) = HCF(240,91) = HCF(331,240) = HCF(571,331) = HCF(902,571) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 808 > 1, we apply the division lemma to 808 and 1, to get
808 = 1 x 808 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 808 is 1
Notice that 1 = HCF(808,1) .
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Frequently Asked Questions on HCF of 902, 571, 808 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 902, 571, 808?
Answer: HCF of 902, 571, 808 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 902, 571, 808 using Euclid's Algorithm?
Answer: For arbitrary numbers 902, 571, 808 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.