Highest Common Factor of 2280, 7713 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 2280, 7713 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 2280, 7713 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 2280, 7713 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 2280, 7713 is 3.
HCF(2280, 7713) = 3
HCF of 2280, 7713 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2280, 7713 is 3.
Highest Common Factor of 2280,7713 is 3
Step 1: Since 7713 > 2280, we apply the division lemma to 7713 and 2280, to get
7713 = 2280 x 3 + 873
Step 2: Since the reminder 2280 ≠ 0, we apply division lemma to 873 and 2280, to get
2280 = 873 x 2 + 534
Step 3: We consider the new divisor 873 and the new remainder 534, and apply the division lemma to get
873 = 534 x 1 + 339
We consider the new divisor 534 and the new remainder 339,and apply the division lemma to get
534 = 339 x 1 + 195
We consider the new divisor 339 and the new remainder 195,and apply the division lemma to get
339 = 195 x 1 + 144
We consider the new divisor 195 and the new remainder 144,and apply the division lemma to get
195 = 144 x 1 + 51
We consider the new divisor 144 and the new remainder 51,and apply the division lemma to get
144 = 51 x 2 + 42
We consider the new divisor 51 and the new remainder 42,and apply the division lemma to get
51 = 42 x 1 + 9
We consider the new divisor 42 and the new remainder 9,and apply the division lemma to get
42 = 9 x 4 + 6
We consider the new divisor 9 and the new remainder 6,and apply the division lemma to get
9 = 6 x 1 + 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 2280 and 7713 is 3
Notice that 3 = HCF(6,3) = HCF(9,6) = HCF(42,9) = HCF(51,42) = HCF(144,51) = HCF(195,144) = HCF(339,195) = HCF(534,339) = HCF(873,534) = HCF(2280,873) = HCF(7713,2280) .
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Frequently Asked Questions on HCF of 2280, 7713 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 2280, 7713?
Answer: HCF of 2280, 7713 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2280, 7713 using Euclid's Algorithm?
Answer: For arbitrary numbers 2280, 7713 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.