Highest Common Factor of 335, 295 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 335, 295 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 335, 295 is 5 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 335, 295 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 335, 295 is 5.
HCF(335, 295) = 5
HCF of 335, 295 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 335, 295 is 5.
Highest Common Factor of 335,295 is 5
Step 1: Since 335 > 295, we apply the division lemma to 335 and 295, to get
335 = 295 x 1 + 40
Step 2: Since the reminder 295 ≠ 0, we apply division lemma to 40 and 295, to get
295 = 40 x 7 + 15
Step 3: We consider the new divisor 40 and the new remainder 15, and apply the division lemma to get
40 = 15 x 2 + 10
We consider the new divisor 15 and the new remainder 10,and apply the division lemma to get
15 = 10 x 1 + 5
We consider the new divisor 10 and the new remainder 5,and apply the division lemma to get
10 = 5 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 335 and 295 is 5
Notice that 5 = HCF(10,5) = HCF(15,10) = HCF(40,15) = HCF(295,40) = HCF(335,295) .
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Frequently Asked Questions on HCF of 335, 295 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 335, 295?
Answer: HCF of 335, 295 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 335, 295 using Euclid's Algorithm?
Answer: For arbitrary numbers 335, 295 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.