Highest Common Factor of 335, 908, 420, 70 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, 908, 420, 70 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 335, 908, 420, 70 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 335, 908, 420, 70 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, 908, 420, 70 is 1.
HCF(335, 908, 420, 70) = 1
HCF of 335, 908, 420, 70 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, 908, 420, 70 is 1.
Highest Common Factor of 335,908,420,70 is 1
Step 1: Since 908 > 335, we apply the division lemma to 908 and 335, to get
908 = 335 x 2 + 238
Step 2: Since the reminder 335 ≠ 0, we apply division lemma to 238 and 335, to get
335 = 238 x 1 + 97
Step 3: We consider the new divisor 238 and the new remainder 97, and apply the division lemma to get
238 = 97 x 2 + 44
We consider the new divisor 97 and the new remainder 44,and apply the division lemma to get
97 = 44 x 2 + 9
We consider the new divisor 44 and the new remainder 9,and apply the division lemma to get
44 = 9 x 4 + 8
We consider the new divisor 9 and the new remainder 8,and apply the division lemma to get
9 = 8 x 1 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 335 and 908 is 1
Notice that 1 = HCF(8,1) = HCF(9,8) = HCF(44,9) = HCF(97,44) = HCF(238,97) = HCF(335,238) = HCF(908,335) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 420 > 1, we apply the division lemma to 420 and 1, to get
420 = 1 x 420 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 420 is 1
Notice that 1 = HCF(420,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 70 > 1, we apply the division lemma to 70 and 1, to get
70 = 1 x 70 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 70 is 1
Notice that 1 = HCF(70,1) .
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Frequently Asked Questions on HCF of 335, 908, 420, 70 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, 908, 420, 70?
Answer: HCF of 335, 908, 420, 70 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 335, 908, 420, 70 using Euclid's Algorithm?
Answer: For arbitrary numbers 335, 908, 420, 70 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
