Highest Common Factor of 2980, 3812 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 2980, 3812 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 2980, 3812 is 4 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 2980, 3812 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 2980, 3812 is 4.
HCF(2980, 3812) = 4
HCF of 2980, 3812 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2980, 3812 is 4.
Highest Common Factor of 2980,3812 is 4
Step 1: Since 3812 > 2980, we apply the division lemma to 3812 and 2980, to get
3812 = 2980 x 1 + 832
Step 2: Since the reminder 2980 ≠ 0, we apply division lemma to 832 and 2980, to get
2980 = 832 x 3 + 484
Step 3: We consider the new divisor 832 and the new remainder 484, and apply the division lemma to get
832 = 484 x 1 + 348
We consider the new divisor 484 and the new remainder 348,and apply the division lemma to get
484 = 348 x 1 + 136
We consider the new divisor 348 and the new remainder 136,and apply the division lemma to get
348 = 136 x 2 + 76
We consider the new divisor 136 and the new remainder 76,and apply the division lemma to get
136 = 76 x 1 + 60
We consider the new divisor 76 and the new remainder 60,and apply the division lemma to get
76 = 60 x 1 + 16
We consider the new divisor 60 and the new remainder 16,and apply the division lemma to get
60 = 16 x 3 + 12
We consider the new divisor 16 and the new remainder 12,and apply the division lemma to get
16 = 12 x 1 + 4
We consider the new divisor 12 and the new remainder 4,and apply the division lemma to get
12 = 4 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 2980 and 3812 is 4
Notice that 4 = HCF(12,4) = HCF(16,12) = HCF(60,16) = HCF(76,60) = HCF(136,76) = HCF(348,136) = HCF(484,348) = HCF(832,484) = HCF(2980,832) = HCF(3812,2980) .
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Frequently Asked Questions on HCF of 2980, 3812 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 2980, 3812?
Answer: HCF of 2980, 3812 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2980, 3812 using Euclid's Algorithm?
Answer: For arbitrary numbers 2980, 3812 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.