Highest Common Factor of 655, 998, 148, 394 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 655, 998, 148, 394 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 655, 998, 148, 394 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 655, 998, 148, 394 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 655, 998, 148, 394 is 1.
HCF(655, 998, 148, 394) = 1
HCF of 655, 998, 148, 394 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 655, 998, 148, 394 is 1.
Highest Common Factor of 655,998,148,394 is 1
Step 1: Since 998 > 655, we apply the division lemma to 998 and 655, to get
998 = 655 x 1 + 343
Step 2: Since the reminder 655 ≠ 0, we apply division lemma to 343 and 655, to get
655 = 343 x 1 + 312
Step 3: We consider the new divisor 343 and the new remainder 312, and apply the division lemma to get
343 = 312 x 1 + 31
We consider the new divisor 312 and the new remainder 31,and apply the division lemma to get
312 = 31 x 10 + 2
We consider the new divisor 31 and the new remainder 2,and apply the division lemma to get
31 = 2 x 15 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma 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 655 and 998 is 1
Notice that 1 = HCF(2,1) = HCF(31,2) = HCF(312,31) = HCF(343,312) = HCF(655,343) = HCF(998,655) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 148 > 1, we apply the division lemma to 148 and 1, to get
148 = 1 x 148 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 148 is 1
Notice that 1 = HCF(148,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 394 > 1, we apply the division lemma to 394 and 1, to get
394 = 1 x 394 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 394 is 1
Notice that 1 = HCF(394,1) .
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Frequently Asked Questions on HCF of 655, 998, 148, 394 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 655, 998, 148, 394?
Answer: HCF of 655, 998, 148, 394 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 655, 998, 148, 394 using Euclid's Algorithm?
Answer: For arbitrary numbers 655, 998, 148, 394 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.