Highest Common Factor of 7385, 6129 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 7385, 6129 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7385, 6129 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 7385, 6129 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 7385, 6129 is 1.
HCF(7385, 6129) = 1
HCF of 7385, 6129 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7385, 6129 is 1.
Highest Common Factor of 7385,6129 is 1
Step 1: Since 7385 > 6129, we apply the division lemma to 7385 and 6129, to get
7385 = 6129 x 1 + 1256
Step 2: Since the reminder 6129 ≠ 0, we apply division lemma to 1256 and 6129, to get
6129 = 1256 x 4 + 1105
Step 3: We consider the new divisor 1256 and the new remainder 1105, and apply the division lemma to get
1256 = 1105 x 1 + 151
We consider the new divisor 1105 and the new remainder 151,and apply the division lemma to get
1105 = 151 x 7 + 48
We consider the new divisor 151 and the new remainder 48,and apply the division lemma to get
151 = 48 x 3 + 7
We consider the new divisor 48 and the new remainder 7,and apply the division lemma to get
48 = 7 x 6 + 6
We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get
7 = 6 x 1 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7385 and 6129 is 1
Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(48,7) = HCF(151,48) = HCF(1105,151) = HCF(1256,1105) = HCF(6129,1256) = HCF(7385,6129) .
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Frequently Asked Questions on HCF of 7385, 6129 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 7385, 6129?
Answer: HCF of 7385, 6129 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7385, 6129 using Euclid's Algorithm?
Answer: For arbitrary numbers 7385, 6129 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
