Highest Common Factor of 2844, 7346 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 2844, 7346 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 2844, 7346 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 2844, 7346 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 2844, 7346 is 2.
HCF(2844, 7346) = 2
HCF of 2844, 7346 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2844, 7346 is 2.
Highest Common Factor of 2844,7346 is 2
Step 1: Since 7346 > 2844, we apply the division lemma to 7346 and 2844, to get
7346 = 2844 x 2 + 1658
Step 2: Since the reminder 2844 ≠ 0, we apply division lemma to 1658 and 2844, to get
2844 = 1658 x 1 + 1186
Step 3: We consider the new divisor 1658 and the new remainder 1186, and apply the division lemma to get
1658 = 1186 x 1 + 472
We consider the new divisor 1186 and the new remainder 472,and apply the division lemma to get
1186 = 472 x 2 + 242
We consider the new divisor 472 and the new remainder 242,and apply the division lemma to get
472 = 242 x 1 + 230
We consider the new divisor 242 and the new remainder 230,and apply the division lemma to get
242 = 230 x 1 + 12
We consider the new divisor 230 and the new remainder 12,and apply the division lemma to get
230 = 12 x 19 + 2
We consider the new divisor 12 and the new remainder 2,and apply the division lemma to get
12 = 2 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2844 and 7346 is 2
Notice that 2 = HCF(12,2) = HCF(230,12) = HCF(242,230) = HCF(472,242) = HCF(1186,472) = HCF(1658,1186) = HCF(2844,1658) = HCF(7346,2844) .
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Frequently Asked Questions on HCF of 2844, 7346 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 2844, 7346?
Answer: HCF of 2844, 7346 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2844, 7346 using Euclid's Algorithm?
Answer: For arbitrary numbers 2844, 7346 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.