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 892, 1222, 4271 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 892, 1222, 4271 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 892, 1222, 4271 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 892, 1222, 4271 is 1.
HCF(892, 1222, 4271) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 892, 1222, 4271 is 1.
Step 1: Since 1222 > 892, we apply the division lemma to 1222 and 892, to get
1222 = 892 x 1 + 330
Step 2: Since the reminder 892 ≠ 0, we apply division lemma to 330 and 892, to get
892 = 330 x 2 + 232
Step 3: We consider the new divisor 330 and the new remainder 232, and apply the division lemma to get
330 = 232 x 1 + 98
We consider the new divisor 232 and the new remainder 98,and apply the division lemma to get
232 = 98 x 2 + 36
We consider the new divisor 98 and the new remainder 36,and apply the division lemma to get
98 = 36 x 2 + 26
We consider the new divisor 36 and the new remainder 26,and apply the division lemma to get
36 = 26 x 1 + 10
We consider the new divisor 26 and the new remainder 10,and apply the division lemma to get
26 = 10 x 2 + 6
We consider the new divisor 10 and the new remainder 6,and apply the division lemma to get
10 = 6 x 1 + 4
We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get
6 = 4 x 1 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 892 and 1222 is 2
Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(10,6) = HCF(26,10) = HCF(36,26) = HCF(98,36) = HCF(232,98) = HCF(330,232) = HCF(892,330) = HCF(1222,892) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 4271 > 2, we apply the division lemma to 4271 and 2, to get
4271 = 2 x 2135 + 1
Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2 and 4271 is 1
Notice that 1 = HCF(2,1) = HCF(4271,2) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 892, 1222, 4271?
Answer: HCF of 892, 1222, 4271 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 892, 1222, 4271 using Euclid's Algorithm?
Answer: For arbitrary numbers 892, 1222, 4271 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.