Highest Common Factor of 277, 780, 32, 723 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 277, 780, 32, 723 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 277, 780, 32, 723 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 277, 780, 32, 723 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 277, 780, 32, 723 is 1.
HCF(277, 780, 32, 723) = 1
HCF of 277, 780, 32, 723 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 277, 780, 32, 723 is 1.
Highest Common Factor of 277,780,32,723 is 1
Step 1: Since 780 > 277, we apply the division lemma to 780 and 277, to get
780 = 277 x 2 + 226
Step 2: Since the reminder 277 ≠ 0, we apply division lemma to 226 and 277, to get
277 = 226 x 1 + 51
Step 3: We consider the new divisor 226 and the new remainder 51, and apply the division lemma to get
226 = 51 x 4 + 22
We consider the new divisor 51 and the new remainder 22,and apply the division lemma to get
51 = 22 x 2 + 7
We consider the new divisor 22 and the new remainder 7,and apply the division lemma to get
22 = 7 x 3 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 277 and 780 is 1
Notice that 1 = HCF(7,1) = HCF(22,7) = HCF(51,22) = HCF(226,51) = HCF(277,226) = HCF(780,277) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 32 > 1, we apply the division lemma to 32 and 1, to get
32 = 1 x 32 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 32 is 1
Notice that 1 = HCF(32,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 723 > 1, we apply the division lemma to 723 and 1, to get
723 = 1 x 723 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 723 is 1
Notice that 1 = HCF(723,1) .
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Frequently Asked Questions on HCF of 277, 780, 32, 723 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 277, 780, 32, 723?
Answer: HCF of 277, 780, 32, 723 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 277, 780, 32, 723 using Euclid's Algorithm?
Answer: For arbitrary numbers 277, 780, 32, 723 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.