Highest Common Factor of 7365, 6152 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 7365, 6152 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7365, 6152 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 7365, 6152 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 7365, 6152 is 1.
HCF(7365, 6152) = 1
HCF of 7365, 6152 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7365, 6152 is 1.
Highest Common Factor of 7365,6152 is 1
Step 1: Since 7365 > 6152, we apply the division lemma to 7365 and 6152, to get
7365 = 6152 x 1 + 1213
Step 2: Since the reminder 6152 ≠ 0, we apply division lemma to 1213 and 6152, to get
6152 = 1213 x 5 + 87
Step 3: We consider the new divisor 1213 and the new remainder 87, and apply the division lemma to get
1213 = 87 x 13 + 82
We consider the new divisor 87 and the new remainder 82,and apply the division lemma to get
87 = 82 x 1 + 5
We consider the new divisor 82 and the new remainder 5,and apply the division lemma to get
82 = 5 x 16 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 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 7365 and 6152 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(82,5) = HCF(87,82) = HCF(1213,87) = HCF(6152,1213) = HCF(7365,6152) .
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Frequently Asked Questions on HCF of 7365, 6152 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 7365, 6152?
Answer: HCF of 7365, 6152 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7365, 6152 using Euclid's Algorithm?
Answer: For arbitrary numbers 7365, 6152 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
