Highest Common Factor of 4902, 8880 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 4902, 8880 i.e. 6 the largest integer that leaves a remainder zero for all numbers.
HCF of 4902, 8880 is 6 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 4902, 8880 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 4902, 8880 is 6.
HCF(4902, 8880) = 6
HCF of 4902, 8880 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4902, 8880 is 6.
Highest Common Factor of 4902,8880 is 6
Step 1: Since 8880 > 4902, we apply the division lemma to 8880 and 4902, to get
8880 = 4902 x 1 + 3978
Step 2: Since the reminder 4902 ≠ 0, we apply division lemma to 3978 and 4902, to get
4902 = 3978 x 1 + 924
Step 3: We consider the new divisor 3978 and the new remainder 924, and apply the division lemma to get
3978 = 924 x 4 + 282
We consider the new divisor 924 and the new remainder 282,and apply the division lemma to get
924 = 282 x 3 + 78
We consider the new divisor 282 and the new remainder 78,and apply the division lemma to get
282 = 78 x 3 + 48
We consider the new divisor 78 and the new remainder 48,and apply the division lemma to get
78 = 48 x 1 + 30
We consider the new divisor 48 and the new remainder 30,and apply the division lemma to get
48 = 30 x 1 + 18
We consider the new divisor 30 and the new remainder 18,and apply the division lemma to get
30 = 18 x 1 + 12
We consider the new divisor 18 and the new remainder 12,and apply the division lemma to get
18 = 12 x 1 + 6
We consider the new divisor 12 and the new remainder 6,and apply the division lemma to get
12 = 6 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 4902 and 8880 is 6
Notice that 6 = HCF(12,6) = HCF(18,12) = HCF(30,18) = HCF(48,30) = HCF(78,48) = HCF(282,78) = HCF(924,282) = HCF(3978,924) = HCF(4902,3978) = HCF(8880,4902) .
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Frequently Asked Questions on HCF of 4902, 8880 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 4902, 8880?
Answer: HCF of 4902, 8880 is 6 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4902, 8880 using Euclid's Algorithm?
Answer: For arbitrary numbers 4902, 8880 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.