Highest Common Factor of 510, 4924 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 510, 4924 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 510, 4924 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 510, 4924 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 510, 4924 is 2.
HCF(510, 4924) = 2
HCF of 510, 4924 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 510, 4924 is 2.
Highest Common Factor of 510,4924 is 2
Step 1: Since 4924 > 510, we apply the division lemma to 4924 and 510, to get
4924 = 510 x 9 + 334
Step 2: Since the reminder 510 ≠ 0, we apply division lemma to 334 and 510, to get
510 = 334 x 1 + 176
Step 3: We consider the new divisor 334 and the new remainder 176, and apply the division lemma to get
334 = 176 x 1 + 158
We consider the new divisor 176 and the new remainder 158,and apply the division lemma to get
176 = 158 x 1 + 18
We consider the new divisor 158 and the new remainder 18,and apply the division lemma to get
158 = 18 x 8 + 14
We consider the new divisor 18 and the new remainder 14,and apply the division lemma to get
18 = 14 x 1 + 4
We consider the new divisor 14 and the new remainder 4,and apply the division lemma to get
14 = 4 x 3 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 510 and 4924 is 2
Notice that 2 = HCF(4,2) = HCF(14,4) = HCF(18,14) = HCF(158,18) = HCF(176,158) = HCF(334,176) = HCF(510,334) = HCF(4924,510) .
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Frequently Asked Questions on HCF of 510, 4924 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 510, 4924?
Answer: HCF of 510, 4924 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 510, 4924 using Euclid's Algorithm?
Answer: For arbitrary numbers 510, 4924 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.