Highest Common Factor of 5960, 2313 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 5960, 2313 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5960, 2313 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 5960, 2313 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 5960, 2313 is 1.
HCF(5960, 2313) = 1
HCF of 5960, 2313 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5960, 2313 is 1.
Highest Common Factor of 5960,2313 is 1
Step 1: Since 5960 > 2313, we apply the division lemma to 5960 and 2313, to get
5960 = 2313 x 2 + 1334
Step 2: Since the reminder 2313 ≠ 0, we apply division lemma to 1334 and 2313, to get
2313 = 1334 x 1 + 979
Step 3: We consider the new divisor 1334 and the new remainder 979, and apply the division lemma to get
1334 = 979 x 1 + 355
We consider the new divisor 979 and the new remainder 355,and apply the division lemma to get
979 = 355 x 2 + 269
We consider the new divisor 355 and the new remainder 269,and apply the division lemma to get
355 = 269 x 1 + 86
We consider the new divisor 269 and the new remainder 86,and apply the division lemma to get
269 = 86 x 3 + 11
We consider the new divisor 86 and the new remainder 11,and apply the division lemma to get
86 = 11 x 7 + 9
We consider the new divisor 11 and the new remainder 9,and apply the division lemma to get
11 = 9 x 1 + 2
We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get
9 = 2 x 4 + 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 5960 and 2313 is 1
Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(11,9) = HCF(86,11) = HCF(269,86) = HCF(355,269) = HCF(979,355) = HCF(1334,979) = HCF(2313,1334) = HCF(5960,2313) .
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Frequently Asked Questions on HCF of 5960, 2313 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 5960, 2313?
Answer: HCF of 5960, 2313 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5960, 2313 using Euclid's Algorithm?
Answer: For arbitrary numbers 5960, 2313 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.