Highest Common Factor of 5004, 7275 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 5004, 7275 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 5004, 7275 is 3 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 5004, 7275 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 5004, 7275 is 3.
HCF(5004, 7275) = 3
HCF of 5004, 7275 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5004, 7275 is 3.
Highest Common Factor of 5004,7275 is 3
Step 1: Since 7275 > 5004, we apply the division lemma to 7275 and 5004, to get
7275 = 5004 x 1 + 2271
Step 2: Since the reminder 5004 ≠ 0, we apply division lemma to 2271 and 5004, to get
5004 = 2271 x 2 + 462
Step 3: We consider the new divisor 2271 and the new remainder 462, and apply the division lemma to get
2271 = 462 x 4 + 423
We consider the new divisor 462 and the new remainder 423,and apply the division lemma to get
462 = 423 x 1 + 39
We consider the new divisor 423 and the new remainder 39,and apply the division lemma to get
423 = 39 x 10 + 33
We consider the new divisor 39 and the new remainder 33,and apply the division lemma to get
39 = 33 x 1 + 6
We consider the new divisor 33 and the new remainder 6,and apply the division lemma to get
33 = 6 x 5 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 5004 and 7275 is 3
Notice that 3 = HCF(6,3) = HCF(33,6) = HCF(39,33) = HCF(423,39) = HCF(462,423) = HCF(2271,462) = HCF(5004,2271) = HCF(7275,5004) .
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Frequently Asked Questions on HCF of 5004, 7275 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 5004, 7275?
Answer: HCF of 5004, 7275 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5004, 7275 using Euclid's Algorithm?
Answer: For arbitrary numbers 5004, 7275 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.