Highest Common Factor of 5350, 4802 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 5350, 4802 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 5350, 4802 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 5350, 4802 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 5350, 4802 is 2.
HCF(5350, 4802) = 2
HCF of 5350, 4802 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5350, 4802 is 2.
Highest Common Factor of 5350,4802 is 2
Step 1: Since 5350 > 4802, we apply the division lemma to 5350 and 4802, to get
5350 = 4802 x 1 + 548
Step 2: Since the reminder 4802 ≠ 0, we apply division lemma to 548 and 4802, to get
4802 = 548 x 8 + 418
Step 3: We consider the new divisor 548 and the new remainder 418, and apply the division lemma to get
548 = 418 x 1 + 130
We consider the new divisor 418 and the new remainder 130,and apply the division lemma to get
418 = 130 x 3 + 28
We consider the new divisor 130 and the new remainder 28,and apply the division lemma to get
130 = 28 x 4 + 18
We consider the new divisor 28 and the new remainder 18,and apply the division lemma to get
28 = 18 x 1 + 10
We consider the new divisor 18 and the new remainder 10,and apply the division lemma to get
18 = 10 x 1 + 8
We consider the new divisor 10 and the new remainder 8,and apply the division lemma to get
10 = 8 x 1 + 2
We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get
8 = 2 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 5350 and 4802 is 2
Notice that 2 = HCF(8,2) = HCF(10,8) = HCF(18,10) = HCF(28,18) = HCF(130,28) = HCF(418,130) = HCF(548,418) = HCF(4802,548) = HCF(5350,4802) .
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Frequently Asked Questions on HCF of 5350, 4802 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 5350, 4802?
Answer: HCF of 5350, 4802 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5350, 4802 using Euclid's Algorithm?
Answer: For arbitrary numbers 5350, 4802 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.