Highest Common Factor of 485, 833, 478, 11 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 485, 833, 478, 11 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 485, 833, 478, 11 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 485, 833, 478, 11 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 485, 833, 478, 11 is 1.
HCF(485, 833, 478, 11) = 1
HCF of 485, 833, 478, 11 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 485, 833, 478, 11 is 1.
Highest Common Factor of 485,833,478,11 is 1
Step 1: Since 833 > 485, we apply the division lemma to 833 and 485, to get
833 = 485 x 1 + 348
Step 2: Since the reminder 485 ≠ 0, we apply division lemma to 348 and 485, to get
485 = 348 x 1 + 137
Step 3: We consider the new divisor 348 and the new remainder 137, and apply the division lemma to get
348 = 137 x 2 + 74
We consider the new divisor 137 and the new remainder 74,and apply the division lemma to get
137 = 74 x 1 + 63
We consider the new divisor 74 and the new remainder 63,and apply the division lemma to get
74 = 63 x 1 + 11
We consider the new divisor 63 and the new remainder 11,and apply the division lemma to get
63 = 11 x 5 + 8
We consider the new divisor 11 and the new remainder 8,and apply the division lemma to get
11 = 8 x 1 + 3
We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get
8 = 3 x 2 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 485 and 833 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(11,8) = HCF(63,11) = HCF(74,63) = HCF(137,74) = HCF(348,137) = HCF(485,348) = HCF(833,485) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 478 > 1, we apply the division lemma to 478 and 1, to get
478 = 1 x 478 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 478 is 1
Notice that 1 = HCF(478,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 11 > 1, we apply the division lemma to 11 and 1, to get
11 = 1 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 11 is 1
Notice that 1 = HCF(11,1) .
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Frequently Asked Questions on HCF of 485, 833, 478, 11 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 485, 833, 478, 11?
Answer: HCF of 485, 833, 478, 11 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 485, 833, 478, 11 using Euclid's Algorithm?
Answer: For arbitrary numbers 485, 833, 478, 11 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
