Highest Common Factor of 5046, 4716 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 5046, 4716 i.e. 6 the largest integer that leaves a remainder zero for all numbers.
HCF of 5046, 4716 is 6 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 5046, 4716 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 5046, 4716 is 6.
HCF(5046, 4716) = 6
HCF of 5046, 4716 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5046, 4716 is 6.
Highest Common Factor of 5046,4716 is 6
Step 1: Since 5046 > 4716, we apply the division lemma to 5046 and 4716, to get
5046 = 4716 x 1 + 330
Step 2: Since the reminder 4716 ≠ 0, we apply division lemma to 330 and 4716, to get
4716 = 330 x 14 + 96
Step 3: We consider the new divisor 330 and the new remainder 96, and apply the division lemma to get
330 = 96 x 3 + 42
We consider the new divisor 96 and the new remainder 42,and apply the division lemma to get
96 = 42 x 2 + 12
We consider the new divisor 42 and the new remainder 12,and apply the division lemma to get
42 = 12 x 3 + 6
We consider the new divisor 12 and the new remainder 6,and apply the division lemma to get
12 = 6 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 5046 and 4716 is 6
Notice that 6 = HCF(12,6) = HCF(42,12) = HCF(96,42) = HCF(330,96) = HCF(4716,330) = HCF(5046,4716) .
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Frequently Asked Questions on HCF of 5046, 4716 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 5046, 4716?
Answer: HCF of 5046, 4716 is 6 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5046, 4716 using Euclid's Algorithm?
Answer: For arbitrary numbers 5046, 4716 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.