Highest Common Factor of 4802, 4304 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 4802, 4304 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 4802, 4304 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 4802, 4304 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 4802, 4304 is 2.
HCF(4802, 4304) = 2
HCF of 4802, 4304 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4802, 4304 is 2.
Highest Common Factor of 4802,4304 is 2
Step 1: Since 4802 > 4304, we apply the division lemma to 4802 and 4304, to get
4802 = 4304 x 1 + 498
Step 2: Since the reminder 4304 ≠ 0, we apply division lemma to 498 and 4304, to get
4304 = 498 x 8 + 320
Step 3: We consider the new divisor 498 and the new remainder 320, and apply the division lemma to get
498 = 320 x 1 + 178
We consider the new divisor 320 and the new remainder 178,and apply the division lemma to get
320 = 178 x 1 + 142
We consider the new divisor 178 and the new remainder 142,and apply the division lemma to get
178 = 142 x 1 + 36
We consider the new divisor 142 and the new remainder 36,and apply the division lemma to get
142 = 36 x 3 + 34
We consider the new divisor 36 and the new remainder 34,and apply the division lemma to get
36 = 34 x 1 + 2
We consider the new divisor 34 and the new remainder 2,and apply the division lemma to get
34 = 2 x 17 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4802 and 4304 is 2
Notice that 2 = HCF(34,2) = HCF(36,34) = HCF(142,36) = HCF(178,142) = HCF(320,178) = HCF(498,320) = HCF(4304,498) = HCF(4802,4304) .
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Frequently Asked Questions on HCF of 4802, 4304 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 4802, 4304?
Answer: HCF of 4802, 4304 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4802, 4304 using Euclid's Algorithm?
Answer: For arbitrary numbers 4802, 4304 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.