Highest Common Factor of 495, 385 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 495, 385 i.e. 55 the largest integer that leaves a remainder zero for all numbers.
HCF of 495, 385 is 55 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 495, 385 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 495, 385 is 55.
HCF(495, 385) = 55
HCF of 495, 385 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 495, 385 is 55.
Highest Common Factor of 495,385 is 55
Step 1: Since 495 > 385, we apply the division lemma to 495 and 385, to get
495 = 385 x 1 + 110
Step 2: Since the reminder 385 ≠ 0, we apply division lemma to 110 and 385, to get
385 = 110 x 3 + 55
Step 3: We consider the new divisor 110 and the new remainder 55, and apply the division lemma to get
110 = 55 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 55, the HCF of 495 and 385 is 55
Notice that 55 = HCF(110,55) = HCF(385,110) = HCF(495,385) .
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Frequently Asked Questions on HCF of 495, 385 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 495, 385?
Answer: HCF of 495, 385 is 55 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 495, 385 using Euclid's Algorithm?
Answer: For arbitrary numbers 495, 385 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.