Highest Common Factor of 9303, 6475, 90775 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 9303, 6475, 90775 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9303, 6475, 90775 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 9303, 6475, 90775 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 9303, 6475, 90775 is 1.
HCF(9303, 6475, 90775) = 1
HCF of 9303, 6475, 90775 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9303, 6475, 90775 is 1.
Highest Common Factor of 9303,6475,90775 is 1
Step 1: Since 9303 > 6475, we apply the division lemma to 9303 and 6475, to get
9303 = 6475 x 1 + 2828
Step 2: Since the reminder 6475 ≠ 0, we apply division lemma to 2828 and 6475, to get
6475 = 2828 x 2 + 819
Step 3: We consider the new divisor 2828 and the new remainder 819, and apply the division lemma to get
2828 = 819 x 3 + 371
We consider the new divisor 819 and the new remainder 371,and apply the division lemma to get
819 = 371 x 2 + 77
We consider the new divisor 371 and the new remainder 77,and apply the division lemma to get
371 = 77 x 4 + 63
We consider the new divisor 77 and the new remainder 63,and apply the division lemma to get
77 = 63 x 1 + 14
We consider the new divisor 63 and the new remainder 14,and apply the division lemma to get
63 = 14 x 4 + 7
We consider the new divisor 14 and the new remainder 7,and apply the division lemma to get
14 = 7 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 9303 and 6475 is 7
Notice that 7 = HCF(14,7) = HCF(63,14) = HCF(77,63) = HCF(371,77) = HCF(819,371) = HCF(2828,819) = HCF(6475,2828) = HCF(9303,6475) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 90775 > 7, we apply the division lemma to 90775 and 7, to get
90775 = 7 x 12967 + 6
Step 2: Since the reminder 7 ≠ 0, we apply division lemma to 6 and 7, to get
7 = 6 x 1 + 1
Step 3: We consider the new divisor 6 and the new remainder 1, and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7 and 90775 is 1
Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(90775,7) .
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Frequently Asked Questions on HCF of 9303, 6475, 90775 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 9303, 6475, 90775?
Answer: HCF of 9303, 6475, 90775 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9303, 6475, 90775 using Euclid's Algorithm?
Answer: For arbitrary numbers 9303, 6475, 90775 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.