Highest Common Factor of 741, 546 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, 546 i.e. 39 the largest integer that leaves a remainder zero for all numbers.
HCF of 741, 546 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 741, 546 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, 546 is 39.
HCF(741, 546) = 39
HCF of 741, 546 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, 546 is 39.
Highest Common Factor of 741,546 is 39
Step 1: Since 741 > 546, we apply the division lemma to 741 and 546, to get
741 = 546 x 1 + 195
Step 2: Since the reminder 546 ≠ 0, we apply division lemma to 195 and 546, to get
546 = 195 x 2 + 156
Step 3: 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 741 and 546 is 39
Notice that 39 = HCF(156,39) = HCF(195,156) = HCF(546,195) = HCF(741,546) .
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Frequently Asked Questions on HCF of 741, 546 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, 546?
Answer: HCF of 741, 546 is 39 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 741, 546 using Euclid's Algorithm?
Answer: For arbitrary numbers 741, 546 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
