Highest Common Factor of 7629, 8140, 58904 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 7629, 8140, 58904 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7629, 8140, 58904 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 7629, 8140, 58904 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 7629, 8140, 58904 is 1.
HCF(7629, 8140, 58904) = 1
HCF of 7629, 8140, 58904 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7629, 8140, 58904 is 1.
Highest Common Factor of 7629,8140,58904 is 1
Step 1: Since 8140 > 7629, we apply the division lemma to 8140 and 7629, to get
8140 = 7629 x 1 + 511
Step 2: Since the reminder 7629 ≠ 0, we apply division lemma to 511 and 7629, to get
7629 = 511 x 14 + 475
Step 3: We consider the new divisor 511 and the new remainder 475, and apply the division lemma to get
511 = 475 x 1 + 36
We consider the new divisor 475 and the new remainder 36,and apply the division lemma to get
475 = 36 x 13 + 7
We consider the new divisor 36 and the new remainder 7,and apply the division lemma to get
36 = 7 x 5 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7629 and 8140 is 1
Notice that 1 = HCF(7,1) = HCF(36,7) = HCF(475,36) = HCF(511,475) = HCF(7629,511) = HCF(8140,7629) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 58904 > 1, we apply the division lemma to 58904 and 1, to get
58904 = 1 x 58904 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 58904 is 1
Notice that 1 = HCF(58904,1) .
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Frequently Asked Questions on HCF of 7629, 8140, 58904 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 7629, 8140, 58904?
Answer: HCF of 7629, 8140, 58904 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7629, 8140, 58904 using Euclid's Algorithm?
Answer: For arbitrary numbers 7629, 8140, 58904 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.