Highest Common Factor of 9315, 2554 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 9315, 2554 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9315, 2554 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 9315, 2554 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 9315, 2554 is 1.
HCF(9315, 2554) = 1
HCF of 9315, 2554 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9315, 2554 is 1.
Highest Common Factor of 9315,2554 is 1
Step 1: Since 9315 > 2554, we apply the division lemma to 9315 and 2554, to get
9315 = 2554 x 3 + 1653
Step 2: Since the reminder 2554 ≠ 0, we apply division lemma to 1653 and 2554, to get
2554 = 1653 x 1 + 901
Step 3: We consider the new divisor 1653 and the new remainder 901, and apply the division lemma to get
1653 = 901 x 1 + 752
We consider the new divisor 901 and the new remainder 752,and apply the division lemma to get
901 = 752 x 1 + 149
We consider the new divisor 752 and the new remainder 149,and apply the division lemma to get
752 = 149 x 5 + 7
We consider the new divisor 149 and the new remainder 7,and apply the division lemma to get
149 = 7 x 21 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 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 9315 and 2554 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(149,7) = HCF(752,149) = HCF(901,752) = HCF(1653,901) = HCF(2554,1653) = HCF(9315,2554) .
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Frequently Asked Questions on HCF of 9315, 2554 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 9315, 2554?
Answer: HCF of 9315, 2554 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9315, 2554 using Euclid's Algorithm?
Answer: For arbitrary numbers 9315, 2554 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
