Highest Common Factor of 421, 2946, 5130 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 421, 2946, 5130 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 421, 2946, 5130 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 421, 2946, 5130 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 421, 2946, 5130 is 1.
HCF(421, 2946, 5130) = 1
HCF of 421, 2946, 5130 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 421, 2946, 5130 is 1.
Highest Common Factor of 421,2946,5130 is 1
Step 1: Since 2946 > 421, we apply the division lemma to 2946 and 421, to get
2946 = 421 x 6 + 420
Step 2: Since the reminder 421 ≠ 0, we apply division lemma to 420 and 421, to get
421 = 420 x 1 + 1
Step 3: We consider the new divisor 420 and the new remainder 1, and apply the division lemma to get
420 = 1 x 420 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 421 and 2946 is 1
Notice that 1 = HCF(420,1) = HCF(421,420) = HCF(2946,421) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 5130 > 1, we apply the division lemma to 5130 and 1, to get
5130 = 1 x 5130 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 5130 is 1
Notice that 1 = HCF(5130,1) .
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Frequently Asked Questions on HCF of 421, 2946, 5130 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 421, 2946, 5130?
Answer: HCF of 421, 2946, 5130 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 421, 2946, 5130 using Euclid's Algorithm?
Answer: For arbitrary numbers 421, 2946, 5130 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.