Highest Common Factor of 4848, 3747 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 4848, 3747 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 4848, 3747 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 4848, 3747 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 4848, 3747 is 3.
HCF(4848, 3747) = 3
HCF of 4848, 3747 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4848, 3747 is 3.
Highest Common Factor of 4848,3747 is 3
Step 1: Since 4848 > 3747, we apply the division lemma to 4848 and 3747, to get
4848 = 3747 x 1 + 1101
Step 2: Since the reminder 3747 ≠ 0, we apply division lemma to 1101 and 3747, to get
3747 = 1101 x 3 + 444
Step 3: We consider the new divisor 1101 and the new remainder 444, and apply the division lemma to get
1101 = 444 x 2 + 213
We consider the new divisor 444 and the new remainder 213,and apply the division lemma to get
444 = 213 x 2 + 18
We consider the new divisor 213 and the new remainder 18,and apply the division lemma to get
213 = 18 x 11 + 15
We consider the new divisor 18 and the new remainder 15,and apply the division lemma to get
18 = 15 x 1 + 3
We consider the new divisor 15 and the new remainder 3,and apply the division lemma to get
15 = 3 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 4848 and 3747 is 3
Notice that 3 = HCF(15,3) = HCF(18,15) = HCF(213,18) = HCF(444,213) = HCF(1101,444) = HCF(3747,1101) = HCF(4848,3747) .
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Frequently Asked Questions on HCF of 4848, 3747 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 4848, 3747?
Answer: HCF of 4848, 3747 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4848, 3747 using Euclid's Algorithm?
Answer: For arbitrary numbers 4848, 3747 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.