Highest Common Factor of 800, 912, 127 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 800, 912, 127 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 800, 912, 127 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 800, 912, 127 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 800, 912, 127 is 1.
HCF(800, 912, 127) = 1
HCF of 800, 912, 127 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 800, 912, 127 is 1.
Highest Common Factor of 800,912,127 is 1
Step 1: Since 912 > 800, we apply the division lemma to 912 and 800, to get
912 = 800 x 1 + 112
Step 2: Since the reminder 800 ≠ 0, we apply division lemma to 112 and 800, to get
800 = 112 x 7 + 16
Step 3: We consider the new divisor 112 and the new remainder 16, and apply the division lemma to get
112 = 16 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 16, the HCF of 800 and 912 is 16
Notice that 16 = HCF(112,16) = HCF(800,112) = HCF(912,800) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 127 > 16, we apply the division lemma to 127 and 16, to get
127 = 16 x 7 + 15
Step 2: Since the reminder 16 ≠ 0, we apply division lemma to 15 and 16, to get
16 = 15 x 1 + 1
Step 3: 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 16 and 127 is 1
Notice that 1 = HCF(15,1) = HCF(16,15) = HCF(127,16) .
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Frequently Asked Questions on HCF of 800, 912, 127 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 800, 912, 127?
Answer: HCF of 800, 912, 127 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 800, 912, 127 using Euclid's Algorithm?
Answer: For arbitrary numbers 800, 912, 127 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.