Highest Common Factor of 303, 890, 342 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, 890, 342 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 303, 890, 342 is 1 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, 890, 342 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, 890, 342 is 1.
HCF(303, 890, 342) = 1
HCF of 303, 890, 342 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, 890, 342 is 1.
Highest Common Factor of 303,890,342 is 1
Step 1: Since 890 > 303, we apply the division lemma to 890 and 303, to get
890 = 303 x 2 + 284
Step 2: Since the reminder 303 ≠ 0, we apply division lemma to 284 and 303, to get
303 = 284 x 1 + 19
Step 3: We consider the new divisor 284 and the new remainder 19, and apply the division lemma to get
284 = 19 x 14 + 18
We consider the new divisor 19 and the new remainder 18,and apply the division lemma to get
19 = 18 x 1 + 1
We consider the new divisor 18 and the new remainder 1,and apply the division lemma to get
18 = 1 x 18 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 303 and 890 is 1
Notice that 1 = HCF(18,1) = HCF(19,18) = HCF(284,19) = HCF(303,284) = HCF(890,303) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 342 > 1, we apply the division lemma to 342 and 1, to get
342 = 1 x 342 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 342 is 1
Notice that 1 = HCF(342,1) .
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Frequently Asked Questions on HCF of 303, 890, 342 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, 890, 342?
Answer: HCF of 303, 890, 342 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 303, 890, 342 using Euclid's Algorithm?
Answer: For arbitrary numbers 303, 890, 342 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.