Highest Common Factor of 303, 42318 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 303, 42318 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 303, 42318 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 303, 42318 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 303, 42318 is 3.
HCF(303, 42318) = 3
HCF of 303, 42318 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 303, 42318 is 3.
Highest Common Factor of 303,42318 is 3
Step 1: Since 42318 > 303, we apply the division lemma to 42318 and 303, to get
42318 = 303 x 139 + 201
Step 2: Since the reminder 303 ≠ 0, we apply division lemma to 201 and 303, to get
303 = 201 x 1 + 102
Step 3: We consider the new divisor 201 and the new remainder 102, and apply the division lemma to get
201 = 102 x 1 + 99
We consider the new divisor 102 and the new remainder 99,and apply the division lemma to get
102 = 99 x 1 + 3
We consider the new divisor 99 and the new remainder 3,and apply the division lemma to get
99 = 3 x 33 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 303 and 42318 is 3
Notice that 3 = HCF(99,3) = HCF(102,99) = HCF(201,102) = HCF(303,201) = HCF(42318,303) .
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Frequently Asked Questions on HCF of 303, 42318 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 303, 42318?
Answer: HCF of 303, 42318 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 303, 42318 using Euclid's Algorithm?
Answer: For arbitrary numbers 303, 42318 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.