Highest Common Factor of 9365, 7280 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 9365, 7280 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 9365, 7280 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 9365, 7280 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 9365, 7280 is 5.
HCF(9365, 7280) = 5
HCF of 9365, 7280 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9365, 7280 is 5.
Highest Common Factor of 9365,7280 is 5
Step 1: Since 9365 > 7280, we apply the division lemma to 9365 and 7280, to get
9365 = 7280 x 1 + 2085
Step 2: Since the reminder 7280 ≠ 0, we apply division lemma to 2085 and 7280, to get
7280 = 2085 x 3 + 1025
Step 3: We consider the new divisor 2085 and the new remainder 1025, and apply the division lemma to get
2085 = 1025 x 2 + 35
We consider the new divisor 1025 and the new remainder 35,and apply the division lemma to get
1025 = 35 x 29 + 10
We consider the new divisor 35 and the new remainder 10,and apply the division lemma to get
35 = 10 x 3 + 5
We consider the new divisor 10 and the new remainder 5,and apply the division lemma to get
10 = 5 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 9365 and 7280 is 5
Notice that 5 = HCF(10,5) = HCF(35,10) = HCF(1025,35) = HCF(2085,1025) = HCF(7280,2085) = HCF(9365,7280) .
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Frequently Asked Questions on HCF of 9365, 7280 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 9365, 7280?
Answer: HCF of 9365, 7280 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9365, 7280 using Euclid's Algorithm?
Answer: For arbitrary numbers 9365, 7280 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.