Highest Common Factor of 7519, 3244 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 7519, 3244 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7519, 3244 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 7519, 3244 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 7519, 3244 is 1.
HCF(7519, 3244) = 1
HCF of 7519, 3244 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7519, 3244 is 1.
Highest Common Factor of 7519,3244 is 1
Step 1: Since 7519 > 3244, we apply the division lemma to 7519 and 3244, to get
7519 = 3244 x 2 + 1031
Step 2: Since the reminder 3244 ≠ 0, we apply division lemma to 1031 and 3244, to get
3244 = 1031 x 3 + 151
Step 3: We consider the new divisor 1031 and the new remainder 151, and apply the division lemma to get
1031 = 151 x 6 + 125
We consider the new divisor 151 and the new remainder 125,and apply the division lemma to get
151 = 125 x 1 + 26
We consider the new divisor 125 and the new remainder 26,and apply the division lemma to get
125 = 26 x 4 + 21
We consider the new divisor 26 and the new remainder 21,and apply the division lemma to get
26 = 21 x 1 + 5
We consider the new divisor 21 and the new remainder 5,and apply the division lemma to get
21 = 5 x 4 + 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 7519 and 3244 is 1
Notice that 1 = HCF(5,1) = HCF(21,5) = HCF(26,21) = HCF(125,26) = HCF(151,125) = HCF(1031,151) = HCF(3244,1031) = HCF(7519,3244) .
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Frequently Asked Questions on HCF of 7519, 3244 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 7519, 3244?
Answer: HCF of 7519, 3244 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7519, 3244 using Euclid's Algorithm?
Answer: For arbitrary numbers 7519, 3244 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.