Highest Common Factor of 7330, 1381 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 7330, 1381 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7330, 1381 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 7330, 1381 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 7330, 1381 is 1.
HCF(7330, 1381) = 1
HCF of 7330, 1381 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7330, 1381 is 1.
Highest Common Factor of 7330,1381 is 1
Step 1: Since 7330 > 1381, we apply the division lemma to 7330 and 1381, to get
7330 = 1381 x 5 + 425
Step 2: Since the reminder 1381 ≠ 0, we apply division lemma to 425 and 1381, to get
1381 = 425 x 3 + 106
Step 3: We consider the new divisor 425 and the new remainder 106, and apply the division lemma to get
425 = 106 x 4 + 1
We consider the new divisor 106 and the new remainder 1, and apply the division lemma to get
106 = 1 x 106 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7330 and 1381 is 1
Notice that 1 = HCF(106,1) = HCF(425,106) = HCF(1381,425) = HCF(7330,1381) .
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Frequently Asked Questions on HCF of 7330, 1381 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 7330, 1381?
Answer: HCF of 7330, 1381 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7330, 1381 using Euclid's Algorithm?
Answer: For arbitrary numbers 7330, 1381 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.