Highest Common Factor of 8053, 7464 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 8053, 7464 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8053, 7464 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 8053, 7464 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 8053, 7464 is 1.
HCF(8053, 7464) = 1
HCF of 8053, 7464 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8053, 7464 is 1.
Highest Common Factor of 8053,7464 is 1
Step 1: Since 8053 > 7464, we apply the division lemma to 8053 and 7464, to get
8053 = 7464 x 1 + 589
Step 2: Since the reminder 7464 ≠ 0, we apply division lemma to 589 and 7464, to get
7464 = 589 x 12 + 396
Step 3: We consider the new divisor 589 and the new remainder 396, and apply the division lemma to get
589 = 396 x 1 + 193
We consider the new divisor 396 and the new remainder 193,and apply the division lemma to get
396 = 193 x 2 + 10
We consider the new divisor 193 and the new remainder 10,and apply the division lemma to get
193 = 10 x 19 + 3
We consider the new divisor 10 and the new remainder 3,and apply the division lemma to get
10 = 3 x 3 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8053 and 7464 is 1
Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(193,10) = HCF(396,193) = HCF(589,396) = HCF(7464,589) = HCF(8053,7464) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 8053, 7464 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 8053, 7464?
Answer: HCF of 8053, 7464 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8053, 7464 using Euclid's Algorithm?
Answer: For arbitrary numbers 8053, 7464 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.