Highest Common Factor of 5094, 7699 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 5094, 7699 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5094, 7699 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 5094, 7699 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 5094, 7699 is 1.
HCF(5094, 7699) = 1
HCF of 5094, 7699 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5094, 7699 is 1.
Highest Common Factor of 5094,7699 is 1
Step 1: Since 7699 > 5094, we apply the division lemma to 7699 and 5094, to get
7699 = 5094 x 1 + 2605
Step 2: Since the reminder 5094 ≠ 0, we apply division lemma to 2605 and 5094, to get
5094 = 2605 x 1 + 2489
Step 3: We consider the new divisor 2605 and the new remainder 2489, and apply the division lemma to get
2605 = 2489 x 1 + 116
We consider the new divisor 2489 and the new remainder 116,and apply the division lemma to get
2489 = 116 x 21 + 53
We consider the new divisor 116 and the new remainder 53,and apply the division lemma to get
116 = 53 x 2 + 10
We consider the new divisor 53 and the new remainder 10,and apply the division lemma to get
53 = 10 x 5 + 3
We consider the new divisor 10 and the new remainder 3,and apply the division lemma to get
10 = 3 x 3 + 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 5094 and 7699 is 1
Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(53,10) = HCF(116,53) = HCF(2489,116) = HCF(2605,2489) = HCF(5094,2605) = HCF(7699,5094) .
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Frequently Asked Questions on HCF of 5094, 7699 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 5094, 7699?
Answer: HCF of 5094, 7699 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5094, 7699 using Euclid's Algorithm?
Answer: For arbitrary numbers 5094, 7699 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.