Highest Common Factor of 6170, 5014 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 6170, 5014 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 6170, 5014 is 2 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 6170, 5014 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 6170, 5014 is 2.
HCF(6170, 5014) = 2
HCF of 6170, 5014 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6170, 5014 is 2.
Highest Common Factor of 6170,5014 is 2
Step 1: Since 6170 > 5014, we apply the division lemma to 6170 and 5014, to get
6170 = 5014 x 1 + 1156
Step 2: Since the reminder 5014 ≠ 0, we apply division lemma to 1156 and 5014, to get
5014 = 1156 x 4 + 390
Step 3: We consider the new divisor 1156 and the new remainder 390, and apply the division lemma to get
1156 = 390 x 2 + 376
We consider the new divisor 390 and the new remainder 376,and apply the division lemma to get
390 = 376 x 1 + 14
We consider the new divisor 376 and the new remainder 14,and apply the division lemma to get
376 = 14 x 26 + 12
We consider the new divisor 14 and the new remainder 12,and apply the division lemma to get
14 = 12 x 1 + 2
We consider the new divisor 12 and the new remainder 2,and apply the division lemma to get
12 = 2 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 6170 and 5014 is 2
Notice that 2 = HCF(12,2) = HCF(14,12) = HCF(376,14) = HCF(390,376) = HCF(1156,390) = HCF(5014,1156) = HCF(6170,5014) .
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Frequently Asked Questions on HCF of 6170, 5014 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 6170, 5014?
Answer: HCF of 6170, 5014 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6170, 5014 using Euclid's Algorithm?
Answer: For arbitrary numbers 6170, 5014 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.