Highest Common Factor of 300, 663, 277, 611 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 300, 663, 277, 611 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 300, 663, 277, 611 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 300, 663, 277, 611 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 300, 663, 277, 611 is 1.
HCF(300, 663, 277, 611) = 1
HCF of 300, 663, 277, 611 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 300, 663, 277, 611 is 1.
Highest Common Factor of 300,663,277,611 is 1
Step 1: Since 663 > 300, we apply the division lemma to 663 and 300, to get
663 = 300 x 2 + 63
Step 2: Since the reminder 300 ≠ 0, we apply division lemma to 63 and 300, to get
300 = 63 x 4 + 48
Step 3: We consider the new divisor 63 and the new remainder 48, and apply the division lemma to get
63 = 48 x 1 + 15
We consider the new divisor 48 and the new remainder 15,and apply the division lemma to get
48 = 15 x 3 + 3
We consider the new divisor 15 and the new remainder 3,and apply the division lemma to get
15 = 3 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 300 and 663 is 3
Notice that 3 = HCF(15,3) = HCF(48,15) = HCF(63,48) = HCF(300,63) = HCF(663,300) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 277 > 3, we apply the division lemma to 277 and 3, to get
277 = 3 x 92 + 1
Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 1 and 3, to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3 and 277 is 1
Notice that 1 = HCF(3,1) = HCF(277,3) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 611 > 1, we apply the division lemma to 611 and 1, to get
611 = 1 x 611 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 611 is 1
Notice that 1 = HCF(611,1) .
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Frequently Asked Questions on HCF of 300, 663, 277, 611 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 300, 663, 277, 611?
Answer: HCF of 300, 663, 277, 611 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 300, 663, 277, 611 using Euclid's Algorithm?
Answer: For arbitrary numbers 300, 663, 277, 611 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.