Highest Common Factor of 6953, 2514 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 6953, 2514 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6953, 2514 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 6953, 2514 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 6953, 2514 is 1.
HCF(6953, 2514) = 1
HCF of 6953, 2514 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6953, 2514 is 1.
Highest Common Factor of 6953,2514 is 1
Step 1: Since 6953 > 2514, we apply the division lemma to 6953 and 2514, to get
6953 = 2514 x 2 + 1925
Step 2: Since the reminder 2514 ≠ 0, we apply division lemma to 1925 and 2514, to get
2514 = 1925 x 1 + 589
Step 3: We consider the new divisor 1925 and the new remainder 589, and apply the division lemma to get
1925 = 589 x 3 + 158
We consider the new divisor 589 and the new remainder 158,and apply the division lemma to get
589 = 158 x 3 + 115
We consider the new divisor 158 and the new remainder 115,and apply the division lemma to get
158 = 115 x 1 + 43
We consider the new divisor 115 and the new remainder 43,and apply the division lemma to get
115 = 43 x 2 + 29
We consider the new divisor 43 and the new remainder 29,and apply the division lemma to get
43 = 29 x 1 + 14
We consider the new divisor 29 and the new remainder 14,and apply the division lemma to get
29 = 14 x 2 + 1
We consider the new divisor 14 and the new remainder 1,and apply the division lemma to get
14 = 1 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6953 and 2514 is 1
Notice that 1 = HCF(14,1) = HCF(29,14) = HCF(43,29) = HCF(115,43) = HCF(158,115) = HCF(589,158) = HCF(1925,589) = HCF(2514,1925) = HCF(6953,2514) .
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Frequently Asked Questions on HCF of 6953, 2514 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 6953, 2514?
Answer: HCF of 6953, 2514 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6953, 2514 using Euclid's Algorithm?
Answer: For arbitrary numbers 6953, 2514 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
