Highest Common Factor of 871, 4831, 4202 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, 4831, 4202 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 871, 4831, 4202 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, 4831, 4202 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, 4831, 4202 is 1.
HCF(871, 4831, 4202) = 1
HCF of 871, 4831, 4202 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, 4831, 4202 is 1.
Highest Common Factor of 871,4831,4202 is 1
Step 1: Since 4831 > 871, we apply the division lemma to 4831 and 871, to get
4831 = 871 x 5 + 476
Step 2: Since the reminder 871 ≠ 0, we apply division lemma to 476 and 871, to get
871 = 476 x 1 + 395
Step 3: We consider the new divisor 476 and the new remainder 395, and apply the division lemma to get
476 = 395 x 1 + 81
We consider the new divisor 395 and the new remainder 81,and apply the division lemma to get
395 = 81 x 4 + 71
We consider the new divisor 81 and the new remainder 71,and apply the division lemma to get
81 = 71 x 1 + 10
We consider the new divisor 71 and the new remainder 10,and apply the division lemma to get
71 = 10 x 7 + 1
We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 871 and 4831 is 1
Notice that 1 = HCF(10,1) = HCF(71,10) = HCF(81,71) = HCF(395,81) = HCF(476,395) = HCF(871,476) = HCF(4831,871) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 4202 > 1, we apply the division lemma to 4202 and 1, to get
4202 = 1 x 4202 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 4202 is 1
Notice that 1 = HCF(4202,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 871, 4831, 4202 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, 4831, 4202?
Answer: HCF of 871, 4831, 4202 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 871, 4831, 4202 using Euclid's Algorithm?
Answer: For arbitrary numbers 871, 4831, 4202 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.