Highest Common Factor of 347, 398, 930 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 347, 398, 930 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 347, 398, 930 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 347, 398, 930 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 347, 398, 930 is 1.
HCF(347, 398, 930) = 1
HCF of 347, 398, 930 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 347, 398, 930 is 1.
Highest Common Factor of 347,398,930 is 1
Step 1: Since 398 > 347, we apply the division lemma to 398 and 347, to get
398 = 347 x 1 + 51
Step 2: Since the reminder 347 ≠ 0, we apply division lemma to 51 and 347, to get
347 = 51 x 6 + 41
Step 3: We consider the new divisor 51 and the new remainder 41, and apply the division lemma to get
51 = 41 x 1 + 10
We consider the new divisor 41 and the new remainder 10,and apply the division lemma to get
41 = 10 x 4 + 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 347 and 398 is 1
Notice that 1 = HCF(10,1) = HCF(41,10) = HCF(51,41) = HCF(347,51) = HCF(398,347) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 930 > 1, we apply the division lemma to 930 and 1, to get
930 = 1 x 930 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 930 is 1
Notice that 1 = HCF(930,1) .
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Frequently Asked Questions on HCF of 347, 398, 930 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 347, 398, 930?
Answer: HCF of 347, 398, 930 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 347, 398, 930 using Euclid's Algorithm?
Answer: For arbitrary numbers 347, 398, 930 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
