Highest Common Factor of 833, 3792, 4641 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 833, 3792, 4641 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 833, 3792, 4641 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 833, 3792, 4641 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 833, 3792, 4641 is 1.
HCF(833, 3792, 4641) = 1
HCF of 833, 3792, 4641 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 833, 3792, 4641 is 1.
Highest Common Factor of 833,3792,4641 is 1
Step 1: Since 3792 > 833, we apply the division lemma to 3792 and 833, to get
3792 = 833 x 4 + 460
Step 2: Since the reminder 833 ≠ 0, we apply division lemma to 460 and 833, to get
833 = 460 x 1 + 373
Step 3: We consider the new divisor 460 and the new remainder 373, and apply the division lemma to get
460 = 373 x 1 + 87
We consider the new divisor 373 and the new remainder 87,and apply the division lemma to get
373 = 87 x 4 + 25
We consider the new divisor 87 and the new remainder 25,and apply the division lemma to get
87 = 25 x 3 + 12
We consider the new divisor 25 and the new remainder 12,and apply the division lemma to get
25 = 12 x 2 + 1
We consider the new divisor 12 and the new remainder 1,and apply the division lemma to get
12 = 1 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 833 and 3792 is 1
Notice that 1 = HCF(12,1) = HCF(25,12) = HCF(87,25) = HCF(373,87) = HCF(460,373) = HCF(833,460) = HCF(3792,833) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 4641 > 1, we apply the division lemma to 4641 and 1, to get
4641 = 1 x 4641 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 4641 is 1
Notice that 1 = HCF(4641,1) .
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Frequently Asked Questions on HCF of 833, 3792, 4641 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 833, 3792, 4641?
Answer: HCF of 833, 3792, 4641 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 833, 3792, 4641 using Euclid's Algorithm?
Answer: For arbitrary numbers 833, 3792, 4641 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.