Highest Common Factor of 5069, 7328 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 5069, 7328 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5069, 7328 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 5069, 7328 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 5069, 7328 is 1.
HCF(5069, 7328) = 1
HCF of 5069, 7328 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5069, 7328 is 1.
Highest Common Factor of 5069,7328 is 1
Step 1: Since 7328 > 5069, we apply the division lemma to 7328 and 5069, to get
7328 = 5069 x 1 + 2259
Step 2: Since the reminder 5069 ≠ 0, we apply division lemma to 2259 and 5069, to get
5069 = 2259 x 2 + 551
Step 3: We consider the new divisor 2259 and the new remainder 551, and apply the division lemma to get
2259 = 551 x 4 + 55
We consider the new divisor 551 and the new remainder 55,and apply the division lemma to get
551 = 55 x 10 + 1
We consider the new divisor 55 and the new remainder 1,and apply the division lemma to get
55 = 1 x 55 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5069 and 7328 is 1
Notice that 1 = HCF(55,1) = HCF(551,55) = HCF(2259,551) = HCF(5069,2259) = HCF(7328,5069) .
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Frequently Asked Questions on HCF of 5069, 7328 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 5069, 7328?
Answer: HCF of 5069, 7328 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5069, 7328 using Euclid's Algorithm?
Answer: For arbitrary numbers 5069, 7328 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
