Highest Common Factor of 3121, 3790, 76613 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 3121, 3790, 76613 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3121, 3790, 76613 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 3121, 3790, 76613 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 3121, 3790, 76613 is 1.
HCF(3121, 3790, 76613) = 1
HCF of 3121, 3790, 76613 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3121, 3790, 76613 is 1.
Highest Common Factor of 3121,3790,76613 is 1
Step 1: Since 3790 > 3121, we apply the division lemma to 3790 and 3121, to get
3790 = 3121 x 1 + 669
Step 2: Since the reminder 3121 ≠ 0, we apply division lemma to 669 and 3121, to get
3121 = 669 x 4 + 445
Step 3: We consider the new divisor 669 and the new remainder 445, and apply the division lemma to get
669 = 445 x 1 + 224
We consider the new divisor 445 and the new remainder 224,and apply the division lemma to get
445 = 224 x 1 + 221
We consider the new divisor 224 and the new remainder 221,and apply the division lemma to get
224 = 221 x 1 + 3
We consider the new divisor 221 and the new remainder 3,and apply the division lemma to get
221 = 3 x 73 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3121 and 3790 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(221,3) = HCF(224,221) = HCF(445,224) = HCF(669,445) = HCF(3121,669) = HCF(3790,3121) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 76613 > 1, we apply the division lemma to 76613 and 1, to get
76613 = 1 x 76613 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 76613 is 1
Notice that 1 = HCF(76613,1) .
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Frequently Asked Questions on HCF of 3121, 3790, 76613 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 3121, 3790, 76613?
Answer: HCF of 3121, 3790, 76613 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3121, 3790, 76613 using Euclid's Algorithm?
Answer: For arbitrary numbers 3121, 3790, 76613 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
