Highest Common Factor of 3009, 5680 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 3009, 5680 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3009, 5680 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 3009, 5680 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 3009, 5680 is 1.
HCF(3009, 5680) = 1
HCF of 3009, 5680 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3009, 5680 is 1.
Highest Common Factor of 3009,5680 is 1
Step 1: Since 5680 > 3009, we apply the division lemma to 5680 and 3009, to get
5680 = 3009 x 1 + 2671
Step 2: Since the reminder 3009 ≠ 0, we apply division lemma to 2671 and 3009, to get
3009 = 2671 x 1 + 338
Step 3: We consider the new divisor 2671 and the new remainder 338, and apply the division lemma to get
2671 = 338 x 7 + 305
We consider the new divisor 338 and the new remainder 305,and apply the division lemma to get
338 = 305 x 1 + 33
We consider the new divisor 305 and the new remainder 33,and apply the division lemma to get
305 = 33 x 9 + 8
We consider the new divisor 33 and the new remainder 8,and apply the division lemma to get
33 = 8 x 4 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3009 and 5680 is 1
Notice that 1 = HCF(8,1) = HCF(33,8) = HCF(305,33) = HCF(338,305) = HCF(2671,338) = HCF(3009,2671) = HCF(5680,3009) .
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Frequently Asked Questions on HCF of 3009, 5680 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 3009, 5680?
Answer: HCF of 3009, 5680 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3009, 5680 using Euclid's Algorithm?
Answer: For arbitrary numbers 3009, 5680 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.