Highest Common Factor of 9255, 6215 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 9255, 6215 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 9255, 6215 is 5 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 9255, 6215 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 9255, 6215 is 5.
HCF(9255, 6215) = 5
HCF of 9255, 6215 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9255, 6215 is 5.
Highest Common Factor of 9255,6215 is 5
Step 1: Since 9255 > 6215, we apply the division lemma to 9255 and 6215, to get
9255 = 6215 x 1 + 3040
Step 2: Since the reminder 6215 ≠ 0, we apply division lemma to 3040 and 6215, to get
6215 = 3040 x 2 + 135
Step 3: We consider the new divisor 3040 and the new remainder 135, and apply the division lemma to get
3040 = 135 x 22 + 70
We consider the new divisor 135 and the new remainder 70,and apply the division lemma to get
135 = 70 x 1 + 65
We consider the new divisor 70 and the new remainder 65,and apply the division lemma to get
70 = 65 x 1 + 5
We consider the new divisor 65 and the new remainder 5,and apply the division lemma to get
65 = 5 x 13 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 9255 and 6215 is 5
Notice that 5 = HCF(65,5) = HCF(70,65) = HCF(135,70) = HCF(3040,135) = HCF(6215,3040) = HCF(9255,6215) .
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Frequently Asked Questions on HCF of 9255, 6215 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 9255, 6215?
Answer: HCF of 9255, 6215 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9255, 6215 using Euclid's Algorithm?
Answer: For arbitrary numbers 9255, 6215 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
