Highest Common Factor of 247, 880, 877 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 247, 880, 877 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 247, 880, 877 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 247, 880, 877 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 247, 880, 877 is 1.
HCF(247, 880, 877) = 1
HCF of 247, 880, 877 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 247, 880, 877 is 1.
Highest Common Factor of 247,880,877 is 1
Step 1: Since 880 > 247, we apply the division lemma to 880 and 247, to get
880 = 247 x 3 + 139
Step 2: Since the reminder 247 ≠ 0, we apply division lemma to 139 and 247, to get
247 = 139 x 1 + 108
Step 3: We consider the new divisor 139 and the new remainder 108, and apply the division lemma to get
139 = 108 x 1 + 31
We consider the new divisor 108 and the new remainder 31,and apply the division lemma to get
108 = 31 x 3 + 15
We consider the new divisor 31 and the new remainder 15,and apply the division lemma to get
31 = 15 x 2 + 1
We consider the new divisor 15 and the new remainder 1,and apply the division lemma to get
15 = 1 x 15 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 247 and 880 is 1
Notice that 1 = HCF(15,1) = HCF(31,15) = HCF(108,31) = HCF(139,108) = HCF(247,139) = HCF(880,247) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 877 > 1, we apply the division lemma to 877 and 1, to get
877 = 1 x 877 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 877 is 1
Notice that 1 = HCF(877,1) .
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Frequently Asked Questions on HCF of 247, 880, 877 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 247, 880, 877?
Answer: HCF of 247, 880, 877 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 247, 880, 877 using Euclid's Algorithm?
Answer: For arbitrary numbers 247, 880, 877 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.