Highest Common Factor of 7313, 2189 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 7313, 2189 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7313, 2189 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 7313, 2189 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 7313, 2189 is 1.
HCF(7313, 2189) = 1
HCF of 7313, 2189 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7313, 2189 is 1.
Highest Common Factor of 7313,2189 is 1
Step 1: Since 7313 > 2189, we apply the division lemma to 7313 and 2189, to get
7313 = 2189 x 3 + 746
Step 2: Since the reminder 2189 ≠ 0, we apply division lemma to 746 and 2189, to get
2189 = 746 x 2 + 697
Step 3: We consider the new divisor 746 and the new remainder 697, and apply the division lemma to get
746 = 697 x 1 + 49
We consider the new divisor 697 and the new remainder 49,and apply the division lemma to get
697 = 49 x 14 + 11
We consider the new divisor 49 and the new remainder 11,and apply the division lemma to get
49 = 11 x 4 + 5
We consider the new divisor 11 and the new remainder 5,and apply the division lemma to get
11 = 5 x 2 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7313 and 2189 is 1
Notice that 1 = HCF(5,1) = HCF(11,5) = HCF(49,11) = HCF(697,49) = HCF(746,697) = HCF(2189,746) = HCF(7313,2189) .
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Frequently Asked Questions on HCF of 7313, 2189 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 7313, 2189?
Answer: HCF of 7313, 2189 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7313, 2189 using Euclid's Algorithm?
Answer: For arbitrary numbers 7313, 2189 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
