Highest Common Factor of 877, 321, 280, 307 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 877, 321, 280, 307 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 877, 321, 280, 307 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 877, 321, 280, 307 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 877, 321, 280, 307 is 1.
HCF(877, 321, 280, 307) = 1
HCF of 877, 321, 280, 307 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 877, 321, 280, 307 is 1.
Highest Common Factor of 877,321,280,307 is 1
Step 1: Since 877 > 321, we apply the division lemma to 877 and 321, to get
877 = 321 x 2 + 235
Step 2: Since the reminder 321 ≠ 0, we apply division lemma to 235 and 321, to get
321 = 235 x 1 + 86
Step 3: We consider the new divisor 235 and the new remainder 86, and apply the division lemma to get
235 = 86 x 2 + 63
We consider the new divisor 86 and the new remainder 63,and apply the division lemma to get
86 = 63 x 1 + 23
We consider the new divisor 63 and the new remainder 23,and apply the division lemma to get
63 = 23 x 2 + 17
We consider the new divisor 23 and the new remainder 17,and apply the division lemma to get
23 = 17 x 1 + 6
We consider the new divisor 17 and the new remainder 6,and apply the division lemma to get
17 = 6 x 2 + 5
We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get
6 = 5 x 1 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 877 and 321 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(17,6) = HCF(23,17) = HCF(63,23) = HCF(86,63) = HCF(235,86) = HCF(321,235) = HCF(877,321) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 280 > 1, we apply the division lemma to 280 and 1, to get
280 = 1 x 280 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 280 is 1
Notice that 1 = HCF(280,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 307 > 1, we apply the division lemma to 307 and 1, to get
307 = 1 x 307 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 307 is 1
Notice that 1 = HCF(307,1) .
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Frequently Asked Questions on HCF of 877, 321, 280, 307 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 877, 321, 280, 307?
Answer: HCF of 877, 321, 280, 307 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 877, 321, 280, 307 using Euclid's Algorithm?
Answer: For arbitrary numbers 877, 321, 280, 307 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.