Highest Common Factor of 315, 7455 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 315, 7455 i.e. 105 the largest integer that leaves a remainder zero for all numbers.
HCF of 315, 7455 is 105 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 315, 7455 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 315, 7455 is 105.
HCF(315, 7455) = 105
HCF of 315, 7455 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 315, 7455 is 105.
Highest Common Factor of 315,7455 is 105
Step 1: Since 7455 > 315, we apply the division lemma to 7455 and 315, to get
7455 = 315 x 23 + 210
Step 2: Since the reminder 315 ≠ 0, we apply division lemma to 210 and 315, to get
315 = 210 x 1 + 105
Step 3: We consider the new divisor 210 and the new remainder 105, and apply the division lemma to get
210 = 105 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 105, the HCF of 315 and 7455 is 105
Notice that 105 = HCF(210,105) = HCF(315,210) = HCF(7455,315) .
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Frequently Asked Questions on HCF of 315, 7455 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 315, 7455?
Answer: HCF of 315, 7455 is 105 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 315, 7455 using Euclid's Algorithm?
Answer: For arbitrary numbers 315, 7455 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.