Highest Common Factor of 741, 8390 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 741, 8390 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 741, 8390 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 741, 8390 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 741, 8390 is 1.
HCF(741, 8390) = 1
HCF of 741, 8390 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 741, 8390 is 1.
Highest Common Factor of 741,8390 is 1
Step 1: Since 8390 > 741, we apply the division lemma to 8390 and 741, to get
8390 = 741 x 11 + 239
Step 2: Since the reminder 741 ≠ 0, we apply division lemma to 239 and 741, to get
741 = 239 x 3 + 24
Step 3: We consider the new divisor 239 and the new remainder 24, and apply the division lemma to get
239 = 24 x 9 + 23
We consider the new divisor 24 and the new remainder 23,and apply the division lemma to get
24 = 23 x 1 + 1
We consider the new divisor 23 and the new remainder 1,and apply the division lemma to get
23 = 1 x 23 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 741 and 8390 is 1
Notice that 1 = HCF(23,1) = HCF(24,23) = HCF(239,24) = HCF(741,239) = HCF(8390,741) .
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Frequently Asked Questions on HCF of 741, 8390 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 741, 8390?
Answer: HCF of 741, 8390 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 741, 8390 using Euclid's Algorithm?
Answer: For arbitrary numbers 741, 8390 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.