Highest Common Factor of 1280, 2521, 69785 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 1280, 2521, 69785 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1280, 2521, 69785 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 1280, 2521, 69785 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 1280, 2521, 69785 is 1.
HCF(1280, 2521, 69785) = 1
HCF of 1280, 2521, 69785 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1280, 2521, 69785 is 1.
Highest Common Factor of 1280,2521,69785 is 1
Step 1: Since 2521 > 1280, we apply the division lemma to 2521 and 1280, to get
2521 = 1280 x 1 + 1241
Step 2: Since the reminder 1280 ≠ 0, we apply division lemma to 1241 and 1280, to get
1280 = 1241 x 1 + 39
Step 3: We consider the new divisor 1241 and the new remainder 39, and apply the division lemma to get
1241 = 39 x 31 + 32
We consider the new divisor 39 and the new remainder 32,and apply the division lemma to get
39 = 32 x 1 + 7
We consider the new divisor 32 and the new remainder 7,and apply the division lemma to get
32 = 7 x 4 + 4
We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get
7 = 4 x 1 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1280 and 2521 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(32,7) = HCF(39,32) = HCF(1241,39) = HCF(1280,1241) = HCF(2521,1280) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 69785 > 1, we apply the division lemma to 69785 and 1, to get
69785 = 1 x 69785 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 69785 is 1
Notice that 1 = HCF(69785,1) .
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Frequently Asked Questions on HCF of 1280, 2521, 69785 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 1280, 2521, 69785?
Answer: HCF of 1280, 2521, 69785 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1280, 2521, 69785 using Euclid's Algorithm?
Answer: For arbitrary numbers 1280, 2521, 69785 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.