Highest Common Factor of 345, 5247, 9225 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 345, 5247, 9225 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 345, 5247, 9225 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 345, 5247, 9225 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 345, 5247, 9225 is 3.
HCF(345, 5247, 9225) = 3
HCF of 345, 5247, 9225 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 345, 5247, 9225 is 3.
Highest Common Factor of 345,5247,9225 is 3
Step 1: Since 5247 > 345, we apply the division lemma to 5247 and 345, to get
5247 = 345 x 15 + 72
Step 2: Since the reminder 345 ≠ 0, we apply division lemma to 72 and 345, to get
345 = 72 x 4 + 57
Step 3: We consider the new divisor 72 and the new remainder 57, and apply the division lemma to get
72 = 57 x 1 + 15
We consider the new divisor 57 and the new remainder 15,and apply the division lemma to get
57 = 15 x 3 + 12
We consider the new divisor 15 and the new remainder 12,and apply the division lemma to get
15 = 12 x 1 + 3
We consider the new divisor 12 and the new remainder 3,and apply the division lemma to get
12 = 3 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 345 and 5247 is 3
Notice that 3 = HCF(12,3) = HCF(15,12) = HCF(57,15) = HCF(72,57) = HCF(345,72) = HCF(5247,345) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 9225 > 3, we apply the division lemma to 9225 and 3, to get
9225 = 3 x 3075 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 3 and 9225 is 3
Notice that 3 = HCF(9225,3) .
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Frequently Asked Questions on HCF of 345, 5247, 9225 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 345, 5247, 9225?
Answer: HCF of 345, 5247, 9225 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 345, 5247, 9225 using Euclid's Algorithm?
Answer: For arbitrary numbers 345, 5247, 9225 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.