Highest Common Factor of 913, 340, 979 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 913, 340, 979 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 913, 340, 979 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 913, 340, 979 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 913, 340, 979 is 1.
HCF(913, 340, 979) = 1
HCF of 913, 340, 979 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 913, 340, 979 is 1.
Highest Common Factor of 913,340,979 is 1
Step 1: Since 913 > 340, we apply the division lemma to 913 and 340, to get
913 = 340 x 2 + 233
Step 2: Since the reminder 340 ≠ 0, we apply division lemma to 233 and 340, to get
340 = 233 x 1 + 107
Step 3: We consider the new divisor 233 and the new remainder 107, and apply the division lemma to get
233 = 107 x 2 + 19
We consider the new divisor 107 and the new remainder 19,and apply the division lemma to get
107 = 19 x 5 + 12
We consider the new divisor 19 and the new remainder 12,and apply the division lemma to get
19 = 12 x 1 + 7
We consider the new divisor 12 and the new remainder 7,and apply the division lemma to get
12 = 7 x 1 + 5
We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get
7 = 5 x 1 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 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 913 and 340 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(12,7) = HCF(19,12) = HCF(107,19) = HCF(233,107) = HCF(340,233) = HCF(913,340) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 979 > 1, we apply the division lemma to 979 and 1, to get
979 = 1 x 979 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 979 is 1
Notice that 1 = HCF(979,1) .
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Frequently Asked Questions on HCF of 913, 340, 979 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 913, 340, 979?
Answer: HCF of 913, 340, 979 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 913, 340, 979 using Euclid's Algorithm?
Answer: For arbitrary numbers 913, 340, 979 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.