Highest Common Factor of 7397, 6264 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 7397, 6264 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7397, 6264 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 7397, 6264 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 7397, 6264 is 1.
HCF(7397, 6264) = 1
HCF of 7397, 6264 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7397, 6264 is 1.
Highest Common Factor of 7397,6264 is 1
Step 1: Since 7397 > 6264, we apply the division lemma to 7397 and 6264, to get
7397 = 6264 x 1 + 1133
Step 2: Since the reminder 6264 ≠ 0, we apply division lemma to 1133 and 6264, to get
6264 = 1133 x 5 + 599
Step 3: We consider the new divisor 1133 and the new remainder 599, and apply the division lemma to get
1133 = 599 x 1 + 534
We consider the new divisor 599 and the new remainder 534,and apply the division lemma to get
599 = 534 x 1 + 65
We consider the new divisor 534 and the new remainder 65,and apply the division lemma to get
534 = 65 x 8 + 14
We consider the new divisor 65 and the new remainder 14,and apply the division lemma to get
65 = 14 x 4 + 9
We consider the new divisor 14 and the new remainder 9,and apply the division lemma to get
14 = 9 x 1 + 5
We consider the new divisor 9 and the new remainder 5,and apply the division lemma to get
9 = 5 x 1 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7397 and 6264 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(14,9) = HCF(65,14) = HCF(534,65) = HCF(599,534) = HCF(1133,599) = HCF(6264,1133) = HCF(7397,6264) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 7397, 6264 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 7397, 6264?
Answer: HCF of 7397, 6264 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7397, 6264 using Euclid's Algorithm?
Answer: For arbitrary numbers 7397, 6264 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.