Highest Common Factor of 9438, 741 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 9438, 741 i.e. 39 the largest integer that leaves a remainder zero for all numbers.
HCF of 9438, 741 is 39 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 9438, 741 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 9438, 741 is 39.
HCF(9438, 741) = 39
HCF of 9438, 741 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9438, 741 is 39.
Highest Common Factor of 9438,741 is 39
Step 1: Since 9438 > 741, we apply the division lemma to 9438 and 741, to get
9438 = 741 x 12 + 546
Step 2: Since the reminder 741 ≠ 0, we apply division lemma to 546 and 741, to get
741 = 546 x 1 + 195
Step 3: We consider the new divisor 546 and the new remainder 195, and apply the division lemma to get
546 = 195 x 2 + 156
We consider the new divisor 195 and the new remainder 156,and apply the division lemma to get
195 = 156 x 1 + 39
We consider the new divisor 156 and the new remainder 39,and apply the division lemma to get
156 = 39 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 39, the HCF of 9438 and 741 is 39
Notice that 39 = HCF(156,39) = HCF(195,156) = HCF(546,195) = HCF(741,546) = HCF(9438,741) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 9438, 741 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 9438, 741?
Answer: HCF of 9438, 741 is 39 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9438, 741 using Euclid's Algorithm?
Answer: For arbitrary numbers 9438, 741 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.