Highest Common Factor of 742, 848, 547 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 742, 848, 547 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 742, 848, 547 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 742, 848, 547 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 742, 848, 547 is 1.
HCF(742, 848, 547) = 1
HCF of 742, 848, 547 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 742, 848, 547 is 1.
Highest Common Factor of 742,848,547 is 1
Step 1: Since 848 > 742, we apply the division lemma to 848 and 742, to get
848 = 742 x 1 + 106
Step 2: Since the reminder 742 ≠ 0, we apply division lemma to 106 and 742, to get
742 = 106 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 106, the HCF of 742 and 848 is 106
Notice that 106 = HCF(742,106) = HCF(848,742) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 547 > 106, we apply the division lemma to 547 and 106, to get
547 = 106 x 5 + 17
Step 2: Since the reminder 106 ≠ 0, we apply division lemma to 17 and 106, to get
106 = 17 x 6 + 4
Step 3: We consider the new divisor 17 and the new remainder 4, and apply the division lemma to get
17 = 4 x 4 + 1
We consider the new divisor 4 and the new remainder 1, and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 106 and 547 is 1
Notice that 1 = HCF(4,1) = HCF(17,4) = HCF(106,17) = HCF(547,106) .
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Frequently Asked Questions on HCF of 742, 848, 547 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 742, 848, 547?
Answer: HCF of 742, 848, 547 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 742, 848, 547 using Euclid's Algorithm?
Answer: For arbitrary numbers 742, 848, 547 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.