Highest Common Factor of 4844, 2749 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 4844, 2749 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4844, 2749 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 4844, 2749 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 4844, 2749 is 1.
HCF(4844, 2749) = 1
HCF of 4844, 2749 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4844, 2749 is 1.
Highest Common Factor of 4844,2749 is 1
Step 1: Since 4844 > 2749, we apply the division lemma to 4844 and 2749, to get
4844 = 2749 x 1 + 2095
Step 2: Since the reminder 2749 ≠ 0, we apply division lemma to 2095 and 2749, to get
2749 = 2095 x 1 + 654
Step 3: We consider the new divisor 2095 and the new remainder 654, and apply the division lemma to get
2095 = 654 x 3 + 133
We consider the new divisor 654 and the new remainder 133,and apply the division lemma to get
654 = 133 x 4 + 122
We consider the new divisor 133 and the new remainder 122,and apply the division lemma to get
133 = 122 x 1 + 11
We consider the new divisor 122 and the new remainder 11,and apply the division lemma to get
122 = 11 x 11 + 1
We consider the new divisor 11 and the new remainder 1,and apply the division lemma to get
11 = 1 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4844 and 2749 is 1
Notice that 1 = HCF(11,1) = HCF(122,11) = HCF(133,122) = HCF(654,133) = HCF(2095,654) = HCF(2749,2095) = HCF(4844,2749) .
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Frequently Asked Questions on HCF of 4844, 2749 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 4844, 2749?
Answer: HCF of 4844, 2749 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4844, 2749 using Euclid's Algorithm?
Answer: For arbitrary numbers 4844, 2749 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.