Highest Common Factor of 2445, 4954, 49964 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 2445, 4954, 49964 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2445, 4954, 49964 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 2445, 4954, 49964 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 2445, 4954, 49964 is 1.
HCF(2445, 4954, 49964) = 1
HCF of 2445, 4954, 49964 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2445, 4954, 49964 is 1.
Highest Common Factor of 2445,4954,49964 is 1
Step 1: Since 4954 > 2445, we apply the division lemma to 4954 and 2445, to get
4954 = 2445 x 2 + 64
Step 2: Since the reminder 2445 ≠ 0, we apply division lemma to 64 and 2445, to get
2445 = 64 x 38 + 13
Step 3: We consider the new divisor 64 and the new remainder 13, and apply the division lemma to get
64 = 13 x 4 + 12
We consider the new divisor 13 and the new remainder 12,and apply the division lemma to get
13 = 12 x 1 + 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 2445 and 4954 is 1
Notice that 1 = HCF(12,1) = HCF(13,12) = HCF(64,13) = HCF(2445,64) = HCF(4954,2445) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 49964 > 1, we apply the division lemma to 49964 and 1, to get
49964 = 1 x 49964 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 49964 is 1
Notice that 1 = HCF(49964,1) .
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Frequently Asked Questions on HCF of 2445, 4954, 49964 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 2445, 4954, 49964?
Answer: HCF of 2445, 4954, 49964 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2445, 4954, 49964 using Euclid's Algorithm?
Answer: For arbitrary numbers 2445, 4954, 49964 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.