Highest Common Factor of 4740, 831 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 4740, 831 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 4740, 831 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 4740, 831 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 4740, 831 is 3.
HCF(4740, 831) = 3
HCF of 4740, 831 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4740, 831 is 3.
Highest Common Factor of 4740,831 is 3
Step 1: Since 4740 > 831, we apply the division lemma to 4740 and 831, to get
4740 = 831 x 5 + 585
Step 2: Since the reminder 831 ≠ 0, we apply division lemma to 585 and 831, to get
831 = 585 x 1 + 246
Step 3: We consider the new divisor 585 and the new remainder 246, and apply the division lemma to get
585 = 246 x 2 + 93
We consider the new divisor 246 and the new remainder 93,and apply the division lemma to get
246 = 93 x 2 + 60
We consider the new divisor 93 and the new remainder 60,and apply the division lemma to get
93 = 60 x 1 + 33
We consider the new divisor 60 and the new remainder 33,and apply the division lemma to get
60 = 33 x 1 + 27
We consider the new divisor 33 and the new remainder 27,and apply the division lemma to get
33 = 27 x 1 + 6
We consider the new divisor 27 and the new remainder 6,and apply the division lemma to get
27 = 6 x 4 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 4740 and 831 is 3
Notice that 3 = HCF(6,3) = HCF(27,6) = HCF(33,27) = HCF(60,33) = HCF(93,60) = HCF(246,93) = HCF(585,246) = HCF(831,585) = HCF(4740,831) .
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Frequently Asked Questions on HCF of 4740, 831 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 4740, 831?
Answer: HCF of 4740, 831 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4740, 831 using Euclid's Algorithm?
Answer: For arbitrary numbers 4740, 831 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
