Highest Common Factor of 871, 1900 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 871, 1900 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 871, 1900 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 871, 1900 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 871, 1900 is 1.
HCF(871, 1900) = 1
HCF of 871, 1900 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 871, 1900 is 1.
Highest Common Factor of 871,1900 is 1
Step 1: Since 1900 > 871, we apply the division lemma to 1900 and 871, to get
1900 = 871 x 2 + 158
Step 2: Since the reminder 871 ≠ 0, we apply division lemma to 158 and 871, to get
871 = 158 x 5 + 81
Step 3: We consider the new divisor 158 and the new remainder 81, and apply the division lemma to get
158 = 81 x 1 + 77
We consider the new divisor 81 and the new remainder 77,and apply the division lemma to get
81 = 77 x 1 + 4
We consider the new divisor 77 and the new remainder 4,and apply the division lemma to get
77 = 4 x 19 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 871 and 1900 is 1
Notice that 1 = HCF(4,1) = HCF(77,4) = HCF(81,77) = HCF(158,81) = HCF(871,158) = HCF(1900,871) .
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Frequently Asked Questions on HCF of 871, 1900 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 871, 1900?
Answer: HCF of 871, 1900 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 871, 1900 using Euclid's Algorithm?
Answer: For arbitrary numbers 871, 1900 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
