Highest Common Factor of 2946, 5452 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 2946, 5452 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 2946, 5452 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 2946, 5452 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 2946, 5452 is 2.
HCF(2946, 5452) = 2
HCF of 2946, 5452 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2946, 5452 is 2.
Highest Common Factor of 2946,5452 is 2
Step 1: Since 5452 > 2946, we apply the division lemma to 5452 and 2946, to get
5452 = 2946 x 1 + 2506
Step 2: Since the reminder 2946 ≠ 0, we apply division lemma to 2506 and 2946, to get
2946 = 2506 x 1 + 440
Step 3: We consider the new divisor 2506 and the new remainder 440, and apply the division lemma to get
2506 = 440 x 5 + 306
We consider the new divisor 440 and the new remainder 306,and apply the division lemma to get
440 = 306 x 1 + 134
We consider the new divisor 306 and the new remainder 134,and apply the division lemma to get
306 = 134 x 2 + 38
We consider the new divisor 134 and the new remainder 38,and apply the division lemma to get
134 = 38 x 3 + 20
We consider the new divisor 38 and the new remainder 20,and apply the division lemma to get
38 = 20 x 1 + 18
We consider the new divisor 20 and the new remainder 18,and apply the division lemma to get
20 = 18 x 1 + 2
We consider the new divisor 18 and the new remainder 2,and apply the division lemma to get
18 = 2 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2946 and 5452 is 2
Notice that 2 = HCF(18,2) = HCF(20,18) = HCF(38,20) = HCF(134,38) = HCF(306,134) = HCF(440,306) = HCF(2506,440) = HCF(2946,2506) = HCF(5452,2946) .
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Frequently Asked Questions on HCF of 2946, 5452 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 2946, 5452?
Answer: HCF of 2946, 5452 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2946, 5452 using Euclid's Algorithm?
Answer: For arbitrary numbers 2946, 5452 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
