Highest Common Factor of 4844, 2710 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, 2710 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 4844, 2710 is 2 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, 2710 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, 2710 is 2.
HCF(4844, 2710) = 2
HCF of 4844, 2710 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, 2710 is 2.
Highest Common Factor of 4844,2710 is 2
Step 1: Since 4844 > 2710, we apply the division lemma to 4844 and 2710, to get
4844 = 2710 x 1 + 2134
Step 2: Since the reminder 2710 ≠ 0, we apply division lemma to 2134 and 2710, to get
2710 = 2134 x 1 + 576
Step 3: We consider the new divisor 2134 and the new remainder 576, and apply the division lemma to get
2134 = 576 x 3 + 406
We consider the new divisor 576 and the new remainder 406,and apply the division lemma to get
576 = 406 x 1 + 170
We consider the new divisor 406 and the new remainder 170,and apply the division lemma to get
406 = 170 x 2 + 66
We consider the new divisor 170 and the new remainder 66,and apply the division lemma to get
170 = 66 x 2 + 38
We consider the new divisor 66 and the new remainder 38,and apply the division lemma to get
66 = 38 x 1 + 28
We consider the new divisor 38 and the new remainder 28,and apply the division lemma to get
38 = 28 x 1 + 10
We consider the new divisor 28 and the new remainder 10,and apply the division lemma to get
28 = 10 x 2 + 8
We consider the new divisor 10 and the new remainder 8,and apply the division lemma to get
10 = 8 x 1 + 2
We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get
8 = 2 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4844 and 2710 is 2
Notice that 2 = HCF(8,2) = HCF(10,8) = HCF(28,10) = HCF(38,28) = HCF(66,38) = HCF(170,66) = HCF(406,170) = HCF(576,406) = HCF(2134,576) = HCF(2710,2134) = HCF(4844,2710) .
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Frequently Asked Questions on HCF of 4844, 2710 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, 2710?
Answer: HCF of 4844, 2710 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4844, 2710 using Euclid's Algorithm?
Answer: For arbitrary numbers 4844, 2710 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.