Highest Common Factor of 884, 3054, 5658 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 884, 3054, 5658 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 884, 3054, 5658 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 884, 3054, 5658 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 884, 3054, 5658 is 2.
HCF(884, 3054, 5658) = 2
HCF of 884, 3054, 5658 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 884, 3054, 5658 is 2.
Highest Common Factor of 884,3054,5658 is 2
Step 1: Since 3054 > 884, we apply the division lemma to 3054 and 884, to get
3054 = 884 x 3 + 402
Step 2: Since the reminder 884 ≠ 0, we apply division lemma to 402 and 884, to get
884 = 402 x 2 + 80
Step 3: We consider the new divisor 402 and the new remainder 80, and apply the division lemma to get
402 = 80 x 5 + 2
We consider the new divisor 80 and the new remainder 2, and apply the division lemma to get
80 = 2 x 40 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 884 and 3054 is 2
Notice that 2 = HCF(80,2) = HCF(402,80) = HCF(884,402) = HCF(3054,884) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 5658 > 2, we apply the division lemma to 5658 and 2, to get
5658 = 2 x 2829 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 5658 is 2
Notice that 2 = HCF(5658,2) .
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Frequently Asked Questions on HCF of 884, 3054, 5658 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 884, 3054, 5658?
Answer: HCF of 884, 3054, 5658 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 884, 3054, 5658 using Euclid's Algorithm?
Answer: For arbitrary numbers 884, 3054, 5658 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.