Highest Common Factor of 7365, 6595 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, 6595 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 7365, 6595 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 7365, 6595 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, 6595 is 5.
HCF(7365, 6595) = 5
HCF of 7365, 6595 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, 6595 is 5.
Highest Common Factor of 7365,6595 is 5
Step 1: Since 7365 > 6595, we apply the division lemma to 7365 and 6595, to get
7365 = 6595 x 1 + 770
Step 2: Since the reminder 6595 ≠ 0, we apply division lemma to 770 and 6595, to get
6595 = 770 x 8 + 435
Step 3: We consider the new divisor 770 and the new remainder 435, and apply the division lemma to get
770 = 435 x 1 + 335
We consider the new divisor 435 and the new remainder 335,and apply the division lemma to get
435 = 335 x 1 + 100
We consider the new divisor 335 and the new remainder 100,and apply the division lemma to get
335 = 100 x 3 + 35
We consider the new divisor 100 and the new remainder 35,and apply the division lemma to get
100 = 35 x 2 + 30
We consider the new divisor 35 and the new remainder 30,and apply the division lemma to get
35 = 30 x 1 + 5
We consider the new divisor 30 and the new remainder 5,and apply the division lemma to get
30 = 5 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 7365 and 6595 is 5
Notice that 5 = HCF(30,5) = HCF(35,30) = HCF(100,35) = HCF(335,100) = HCF(435,335) = HCF(770,435) = HCF(6595,770) = HCF(7365,6595) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 7365, 6595 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, 6595?
Answer: HCF of 7365, 6595 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7365, 6595 using Euclid's Algorithm?
Answer: For arbitrary numbers 7365, 6595 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
