Highest Common Factor of 4503, 7416 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 4503, 7416 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 4503, 7416 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 4503, 7416 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 4503, 7416 is 3.
HCF(4503, 7416) = 3
HCF of 4503, 7416 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4503, 7416 is 3.
Highest Common Factor of 4503,7416 is 3
Step 1: Since 7416 > 4503, we apply the division lemma to 7416 and 4503, to get
7416 = 4503 x 1 + 2913
Step 2: Since the reminder 4503 ≠ 0, we apply division lemma to 2913 and 4503, to get
4503 = 2913 x 1 + 1590
Step 3: We consider the new divisor 2913 and the new remainder 1590, and apply the division lemma to get
2913 = 1590 x 1 + 1323
We consider the new divisor 1590 and the new remainder 1323,and apply the division lemma to get
1590 = 1323 x 1 + 267
We consider the new divisor 1323 and the new remainder 267,and apply the division lemma to get
1323 = 267 x 4 + 255
We consider the new divisor 267 and the new remainder 255,and apply the division lemma to get
267 = 255 x 1 + 12
We consider the new divisor 255 and the new remainder 12,and apply the division lemma to get
255 = 12 x 21 + 3
We consider the new divisor 12 and the new remainder 3,and apply the division lemma to get
12 = 3 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 4503 and 7416 is 3
Notice that 3 = HCF(12,3) = HCF(255,12) = HCF(267,255) = HCF(1323,267) = HCF(1590,1323) = HCF(2913,1590) = HCF(4503,2913) = HCF(7416,4503) .
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Frequently Asked Questions on HCF of 4503, 7416 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 4503, 7416?
Answer: HCF of 4503, 7416 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4503, 7416 using Euclid's Algorithm?
Answer: For arbitrary numbers 4503, 7416 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.