Highest Common Factor of 730, 1347, 3354 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 730, 1347, 3354 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 730, 1347, 3354 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 730, 1347, 3354 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 730, 1347, 3354 is 1.
HCF(730, 1347, 3354) = 1
HCF of 730, 1347, 3354 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 730, 1347, 3354 is 1.
Highest Common Factor of 730,1347,3354 is 1
Step 1: Since 1347 > 730, we apply the division lemma to 1347 and 730, to get
1347 = 730 x 1 + 617
Step 2: Since the reminder 730 ≠ 0, we apply division lemma to 617 and 730, to get
730 = 617 x 1 + 113
Step 3: We consider the new divisor 617 and the new remainder 113, and apply the division lemma to get
617 = 113 x 5 + 52
We consider the new divisor 113 and the new remainder 52,and apply the division lemma to get
113 = 52 x 2 + 9
We consider the new divisor 52 and the new remainder 9,and apply the division lemma to get
52 = 9 x 5 + 7
We consider the new divisor 9 and the new remainder 7,and apply the division lemma to get
9 = 7 x 1 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 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 730 and 1347 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(9,7) = HCF(52,9) = HCF(113,52) = HCF(617,113) = HCF(730,617) = HCF(1347,730) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 3354 > 1, we apply the division lemma to 3354 and 1, to get
3354 = 1 x 3354 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 3354 is 1
Notice that 1 = HCF(3354,1) .
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Frequently Asked Questions on HCF of 730, 1347, 3354 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 730, 1347, 3354?
Answer: HCF of 730, 1347, 3354 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 730, 1347, 3354 using Euclid's Algorithm?
Answer: For arbitrary numbers 730, 1347, 3354 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.