Highest Common Factor of 6953, 6014 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, 6014 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6953, 6014 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, 6014 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, 6014 is 1.
HCF(6953, 6014) = 1
HCF of 6953, 6014 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, 6014 is 1.
Highest Common Factor of 6953,6014 is 1
Step 1: Since 6953 > 6014, we apply the division lemma to 6953 and 6014, to get
6953 = 6014 x 1 + 939
Step 2: Since the reminder 6014 ≠ 0, we apply division lemma to 939 and 6014, to get
6014 = 939 x 6 + 380
Step 3: We consider the new divisor 939 and the new remainder 380, and apply the division lemma to get
939 = 380 x 2 + 179
We consider the new divisor 380 and the new remainder 179,and apply the division lemma to get
380 = 179 x 2 + 22
We consider the new divisor 179 and the new remainder 22,and apply the division lemma to get
179 = 22 x 8 + 3
We consider the new divisor 22 and the new remainder 3,and apply the division lemma to get
22 = 3 x 7 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6953 and 6014 is 1
Notice that 1 = HCF(3,1) = HCF(22,3) = HCF(179,22) = HCF(380,179) = HCF(939,380) = HCF(6014,939) = HCF(6953,6014) .
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Frequently Asked Questions on HCF of 6953, 6014 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, 6014?
Answer: HCF of 6953, 6014 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6953, 6014 using Euclid's Algorithm?
Answer: For arbitrary numbers 6953, 6014 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.