Highest Common Factor of 848, 318, 398, 227 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 848, 318, 398, 227 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 848, 318, 398, 227 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 848, 318, 398, 227 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 848, 318, 398, 227 is 1.
HCF(848, 318, 398, 227) = 1
HCF of 848, 318, 398, 227 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 848, 318, 398, 227 is 1.
Highest Common Factor of 848,318,398,227 is 1
Step 1: Since 848 > 318, we apply the division lemma to 848 and 318, to get
848 = 318 x 2 + 212
Step 2: Since the reminder 318 ≠ 0, we apply division lemma to 212 and 318, to get
318 = 212 x 1 + 106
Step 3: We consider the new divisor 212 and the new remainder 106, and apply the division lemma to get
212 = 106 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 106, the HCF of 848 and 318 is 106
Notice that 106 = HCF(212,106) = HCF(318,212) = HCF(848,318) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 398 > 106, we apply the division lemma to 398 and 106, to get
398 = 106 x 3 + 80
Step 2: Since the reminder 106 ≠ 0, we apply division lemma to 80 and 106, to get
106 = 80 x 1 + 26
Step 3: We consider the new divisor 80 and the new remainder 26, and apply the division lemma to get
80 = 26 x 3 + 2
We consider the new divisor 26 and the new remainder 2, and apply the division lemma to get
26 = 2 x 13 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 106 and 398 is 2
Notice that 2 = HCF(26,2) = HCF(80,26) = HCF(106,80) = HCF(398,106) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 227 > 2, we apply the division lemma to 227 and 2, to get
227 = 2 x 113 + 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 227 is 1
Notice that 1 = HCF(2,1) = HCF(227,2) .
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Frequently Asked Questions on HCF of 848, 318, 398, 227 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 848, 318, 398, 227?
Answer: HCF of 848, 318, 398, 227 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 848, 318, 398, 227 using Euclid's Algorithm?
Answer: For arbitrary numbers 848, 318, 398, 227 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
