Highest Common Factor of 5265, 9585 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 5265, 9585 i.e. 135 the largest integer that leaves a remainder zero for all numbers.
HCF of 5265, 9585 is 135 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 5265, 9585 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 5265, 9585 is 135.
HCF(5265, 9585) = 135
HCF of 5265, 9585 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5265, 9585 is 135.
Highest Common Factor of 5265,9585 is 135
Step 1: Since 9585 > 5265, we apply the division lemma to 9585 and 5265, to get
9585 = 5265 x 1 + 4320
Step 2: Since the reminder 5265 ≠ 0, we apply division lemma to 4320 and 5265, to get
5265 = 4320 x 1 + 945
Step 3: We consider the new divisor 4320 and the new remainder 945, and apply the division lemma to get
4320 = 945 x 4 + 540
We consider the new divisor 945 and the new remainder 540,and apply the division lemma to get
945 = 540 x 1 + 405
We consider the new divisor 540 and the new remainder 405,and apply the division lemma to get
540 = 405 x 1 + 135
We consider the new divisor 405 and the new remainder 135,and apply the division lemma to get
405 = 135 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 135, the HCF of 5265 and 9585 is 135
Notice that 135 = HCF(405,135) = HCF(540,405) = HCF(945,540) = HCF(4320,945) = HCF(5265,4320) = HCF(9585,5265) .
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Frequently Asked Questions on HCF of 5265, 9585 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 5265, 9585?
Answer: HCF of 5265, 9585 is 135 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5265, 9585 using Euclid's Algorithm?
Answer: For arbitrary numbers 5265, 9585 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.