Highest Common Factor of 7205, 5465 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 7205, 5465 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 7205, 5465 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 7205, 5465 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 7205, 5465 is 5.
HCF(7205, 5465) = 5
HCF of 7205, 5465 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7205, 5465 is 5.
Highest Common Factor of 7205,5465 is 5
Step 1: Since 7205 > 5465, we apply the division lemma to 7205 and 5465, to get
7205 = 5465 x 1 + 1740
Step 2: Since the reminder 5465 ≠ 0, we apply division lemma to 1740 and 5465, to get
5465 = 1740 x 3 + 245
Step 3: We consider the new divisor 1740 and the new remainder 245, and apply the division lemma to get
1740 = 245 x 7 + 25
We consider the new divisor 245 and the new remainder 25,and apply the division lemma to get
245 = 25 x 9 + 20
We consider the new divisor 25 and the new remainder 20,and apply the division lemma to get
25 = 20 x 1 + 5
We consider the new divisor 20 and the new remainder 5,and apply the division lemma to get
20 = 5 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 7205 and 5465 is 5
Notice that 5 = HCF(20,5) = HCF(25,20) = HCF(245,25) = HCF(1740,245) = HCF(5465,1740) = HCF(7205,5465) .
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Frequently Asked Questions on HCF of 7205, 5465 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 7205, 5465?
Answer: HCF of 7205, 5465 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7205, 5465 using Euclid's Algorithm?
Answer: For arbitrary numbers 7205, 5465 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
