Highest Common Factor of 2680, 5047 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 2680, 5047 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2680, 5047 is 1 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 2680, 5047 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 2680, 5047 is 1.
HCF(2680, 5047) = 1
HCF of 2680, 5047 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2680, 5047 is 1.
Highest Common Factor of 2680,5047 is 1
Step 1: Since 5047 > 2680, we apply the division lemma to 5047 and 2680, to get
5047 = 2680 x 1 + 2367
Step 2: Since the reminder 2680 ≠ 0, we apply division lemma to 2367 and 2680, to get
2680 = 2367 x 1 + 313
Step 3: We consider the new divisor 2367 and the new remainder 313, and apply the division lemma to get
2367 = 313 x 7 + 176
We consider the new divisor 313 and the new remainder 176,and apply the division lemma to get
313 = 176 x 1 + 137
We consider the new divisor 176 and the new remainder 137,and apply the division lemma to get
176 = 137 x 1 + 39
We consider the new divisor 137 and the new remainder 39,and apply the division lemma to get
137 = 39 x 3 + 20
We consider the new divisor 39 and the new remainder 20,and apply the division lemma to get
39 = 20 x 1 + 19
We consider the new divisor 20 and the new remainder 19,and apply the division lemma to get
20 = 19 x 1 + 1
We consider the new divisor 19 and the new remainder 1,and apply the division lemma to get
19 = 1 x 19 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2680 and 5047 is 1
Notice that 1 = HCF(19,1) = HCF(20,19) = HCF(39,20) = HCF(137,39) = HCF(176,137) = HCF(313,176) = HCF(2367,313) = HCF(2680,2367) = HCF(5047,2680) .
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Frequently Asked Questions on HCF of 2680, 5047 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 2680, 5047?
Answer: HCF of 2680, 5047 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2680, 5047 using Euclid's Algorithm?
Answer: For arbitrary numbers 2680, 5047 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
