Highest Common Factor of 2047, 3168, 49470 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 2047, 3168, 49470 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2047, 3168, 49470 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 2047, 3168, 49470 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 2047, 3168, 49470 is 1.
HCF(2047, 3168, 49470) = 1
HCF of 2047, 3168, 49470 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2047, 3168, 49470 is 1.
Highest Common Factor of 2047,3168,49470 is 1
Step 1: Since 3168 > 2047, we apply the division lemma to 3168 and 2047, to get
3168 = 2047 x 1 + 1121
Step 2: Since the reminder 2047 ≠ 0, we apply division lemma to 1121 and 2047, to get
2047 = 1121 x 1 + 926
Step 3: We consider the new divisor 1121 and the new remainder 926, and apply the division lemma to get
1121 = 926 x 1 + 195
We consider the new divisor 926 and the new remainder 195,and apply the division lemma to get
926 = 195 x 4 + 146
We consider the new divisor 195 and the new remainder 146,and apply the division lemma to get
195 = 146 x 1 + 49
We consider the new divisor 146 and the new remainder 49,and apply the division lemma to get
146 = 49 x 2 + 48
We consider the new divisor 49 and the new remainder 48,and apply the division lemma to get
49 = 48 x 1 + 1
We consider the new divisor 48 and the new remainder 1,and apply the division lemma to get
48 = 1 x 48 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2047 and 3168 is 1
Notice that 1 = HCF(48,1) = HCF(49,48) = HCF(146,49) = HCF(195,146) = HCF(926,195) = HCF(1121,926) = HCF(2047,1121) = HCF(3168,2047) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 49470 > 1, we apply the division lemma to 49470 and 1, to get
49470 = 1 x 49470 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 49470 is 1
Notice that 1 = HCF(49470,1) .
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Frequently Asked Questions on HCF of 2047, 3168, 49470 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 2047, 3168, 49470?
Answer: HCF of 2047, 3168, 49470 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2047, 3168, 49470 using Euclid's Algorithm?
Answer: For arbitrary numbers 2047, 3168, 49470 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.