Highest Common Factor of 4508, 7144 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 4508, 7144 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 4508, 7144 is 4 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 4508, 7144 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 4508, 7144 is 4.
HCF(4508, 7144) = 4
HCF of 4508, 7144 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4508, 7144 is 4.
Highest Common Factor of 4508,7144 is 4
Step 1: Since 7144 > 4508, we apply the division lemma to 7144 and 4508, to get
7144 = 4508 x 1 + 2636
Step 2: Since the reminder 4508 ≠ 0, we apply division lemma to 2636 and 4508, to get
4508 = 2636 x 1 + 1872
Step 3: We consider the new divisor 2636 and the new remainder 1872, and apply the division lemma to get
2636 = 1872 x 1 + 764
We consider the new divisor 1872 and the new remainder 764,and apply the division lemma to get
1872 = 764 x 2 + 344
We consider the new divisor 764 and the new remainder 344,and apply the division lemma to get
764 = 344 x 2 + 76
We consider the new divisor 344 and the new remainder 76,and apply the division lemma to get
344 = 76 x 4 + 40
We consider the new divisor 76 and the new remainder 40,and apply the division lemma to get
76 = 40 x 1 + 36
We consider the new divisor 40 and the new remainder 36,and apply the division lemma to get
40 = 36 x 1 + 4
We consider the new divisor 36 and the new remainder 4,and apply the division lemma to get
36 = 4 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 4508 and 7144 is 4
Notice that 4 = HCF(36,4) = HCF(40,36) = HCF(76,40) = HCF(344,76) = HCF(764,344) = HCF(1872,764) = HCF(2636,1872) = HCF(4508,2636) = HCF(7144,4508) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 4508, 7144 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 4508, 7144?
Answer: HCF of 4508, 7144 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4508, 7144 using Euclid's Algorithm?
Answer: For arbitrary numbers 4508, 7144 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
