Highest Common Factor of 5031, 7707 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 5031, 7707 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 5031, 7707 is 3 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 5031, 7707 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 5031, 7707 is 3.
HCF(5031, 7707) = 3
HCF of 5031, 7707 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5031, 7707 is 3.
Highest Common Factor of 5031,7707 is 3
Step 1: Since 7707 > 5031, we apply the division lemma to 7707 and 5031, to get
7707 = 5031 x 1 + 2676
Step 2: Since the reminder 5031 ≠ 0, we apply division lemma to 2676 and 5031, to get
5031 = 2676 x 1 + 2355
Step 3: We consider the new divisor 2676 and the new remainder 2355, and apply the division lemma to get
2676 = 2355 x 1 + 321
We consider the new divisor 2355 and the new remainder 321,and apply the division lemma to get
2355 = 321 x 7 + 108
We consider the new divisor 321 and the new remainder 108,and apply the division lemma to get
321 = 108 x 2 + 105
We consider the new divisor 108 and the new remainder 105,and apply the division lemma to get
108 = 105 x 1 + 3
We consider the new divisor 105 and the new remainder 3,and apply the division lemma to get
105 = 3 x 35 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 5031 and 7707 is 3
Notice that 3 = HCF(105,3) = HCF(108,105) = HCF(321,108) = HCF(2355,321) = HCF(2676,2355) = HCF(5031,2676) = HCF(7707,5031) .
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Frequently Asked Questions on HCF of 5031, 7707 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 5031, 7707?
Answer: HCF of 5031, 7707 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5031, 7707 using Euclid's Algorithm?
Answer: For arbitrary numbers 5031, 7707 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
