Highest Common Factor of 7623, 510 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 7623, 510 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 7623, 510 is 3 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 7623, 510 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 7623, 510 is 3.
HCF(7623, 510) = 3
HCF of 7623, 510 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7623, 510 is 3.
Highest Common Factor of 7623,510 is 3
Step 1: Since 7623 > 510, we apply the division lemma to 7623 and 510, to get
7623 = 510 x 14 + 483
Step 2: Since the reminder 510 ≠ 0, we apply division lemma to 483 and 510, to get
510 = 483 x 1 + 27
Step 3: We consider the new divisor 483 and the new remainder 27, and apply the division lemma to get
483 = 27 x 17 + 24
We consider the new divisor 27 and the new remainder 24,and apply the division lemma to get
27 = 24 x 1 + 3
We consider the new divisor 24 and the new remainder 3,and apply the division lemma to get
24 = 3 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 7623 and 510 is 3
Notice that 3 = HCF(24,3) = HCF(27,24) = HCF(483,27) = HCF(510,483) = HCF(7623,510) .
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Frequently Asked Questions on HCF of 7623, 510 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 7623, 510?
Answer: HCF of 7623, 510 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7623, 510 using Euclid's Algorithm?
Answer: For arbitrary numbers 7623, 510 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.