Highest Common Factor of 846, 4744 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 846, 4744 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 846, 4744 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 846, 4744 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 846, 4744 is 2.
HCF(846, 4744) = 2
HCF of 846, 4744 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 846, 4744 is 2.
Highest Common Factor of 846,4744 is 2
Step 1: Since 4744 > 846, we apply the division lemma to 4744 and 846, to get
4744 = 846 x 5 + 514
Step 2: Since the reminder 846 ≠ 0, we apply division lemma to 514 and 846, to get
846 = 514 x 1 + 332
Step 3: We consider the new divisor 514 and the new remainder 332, and apply the division lemma to get
514 = 332 x 1 + 182
We consider the new divisor 332 and the new remainder 182,and apply the division lemma to get
332 = 182 x 1 + 150
We consider the new divisor 182 and the new remainder 150,and apply the division lemma to get
182 = 150 x 1 + 32
We consider the new divisor 150 and the new remainder 32,and apply the division lemma to get
150 = 32 x 4 + 22
We consider the new divisor 32 and the new remainder 22,and apply the division lemma to get
32 = 22 x 1 + 10
We consider the new divisor 22 and the new remainder 10,and apply the division lemma to get
22 = 10 x 2 + 2
We consider the new divisor 10 and the new remainder 2,and apply the division lemma to get
10 = 2 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 846 and 4744 is 2
Notice that 2 = HCF(10,2) = HCF(22,10) = HCF(32,22) = HCF(150,32) = HCF(182,150) = HCF(332,182) = HCF(514,332) = HCF(846,514) = HCF(4744,846) .
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Frequently Asked Questions on HCF of 846, 4744 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 846, 4744?
Answer: HCF of 846, 4744 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 846, 4744 using Euclid's Algorithm?
Answer: For arbitrary numbers 846, 4744 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.