Highest Common Factor of 958, 9130, 2939 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 958, 9130, 2939 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 958, 9130, 2939 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 958, 9130, 2939 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 958, 9130, 2939 is 1.
HCF(958, 9130, 2939) = 1
HCF of 958, 9130, 2939 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 958, 9130, 2939 is 1.
Highest Common Factor of 958,9130,2939 is 1
Step 1: Since 9130 > 958, we apply the division lemma to 9130 and 958, to get
9130 = 958 x 9 + 508
Step 2: Since the reminder 958 ≠ 0, we apply division lemma to 508 and 958, to get
958 = 508 x 1 + 450
Step 3: We consider the new divisor 508 and the new remainder 450, and apply the division lemma to get
508 = 450 x 1 + 58
We consider the new divisor 450 and the new remainder 58,and apply the division lemma to get
450 = 58 x 7 + 44
We consider the new divisor 58 and the new remainder 44,and apply the division lemma to get
58 = 44 x 1 + 14
We consider the new divisor 44 and the new remainder 14,and apply the division lemma to get
44 = 14 x 3 + 2
We consider the new divisor 14 and the new remainder 2,and apply the division lemma to get
14 = 2 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 958 and 9130 is 2
Notice that 2 = HCF(14,2) = HCF(44,14) = HCF(58,44) = HCF(450,58) = HCF(508,450) = HCF(958,508) = HCF(9130,958) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 2939 > 2, we apply the division lemma to 2939 and 2, to get
2939 = 2 x 1469 + 1
Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 2939 is 1
Notice that 1 = HCF(2,1) = HCF(2939,2) .
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Frequently Asked Questions on HCF of 958, 9130, 2939 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 958, 9130, 2939?
Answer: HCF of 958, 9130, 2939 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 958, 9130, 2939 using Euclid's Algorithm?
Answer: For arbitrary numbers 958, 9130, 2939 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
