Highest Common Factor of 2508, 7347 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 2508, 7347 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 2508, 7347 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 2508, 7347 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 2508, 7347 is 3.
HCF(2508, 7347) = 3
HCF of 2508, 7347 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2508, 7347 is 3.
Highest Common Factor of 2508,7347 is 3
Step 1: Since 7347 > 2508, we apply the division lemma to 7347 and 2508, to get
7347 = 2508 x 2 + 2331
Step 2: Since the reminder 2508 ≠ 0, we apply division lemma to 2331 and 2508, to get
2508 = 2331 x 1 + 177
Step 3: We consider the new divisor 2331 and the new remainder 177, and apply the division lemma to get
2331 = 177 x 13 + 30
We consider the new divisor 177 and the new remainder 30,and apply the division lemma to get
177 = 30 x 5 + 27
We consider the new divisor 30 and the new remainder 27,and apply the division lemma to get
30 = 27 x 1 + 3
We consider the new divisor 27 and the new remainder 3,and apply the division lemma to get
27 = 3 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 2508 and 7347 is 3
Notice that 3 = HCF(27,3) = HCF(30,27) = HCF(177,30) = HCF(2331,177) = HCF(2508,2331) = HCF(7347,2508) .
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Frequently Asked Questions on HCF of 2508, 7347 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 2508, 7347?
Answer: HCF of 2508, 7347 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2508, 7347 using Euclid's Algorithm?
Answer: For arbitrary numbers 2508, 7347 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.