Highest Common Factor of 747, 544, 74 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 747, 544, 74 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 747, 544, 74 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 747, 544, 74 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 747, 544, 74 is 1.
HCF(747, 544, 74) = 1
HCF of 747, 544, 74 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 747, 544, 74 is 1.
Highest Common Factor of 747,544,74 is 1
Step 1: Since 747 > 544, we apply the division lemma to 747 and 544, to get
747 = 544 x 1 + 203
Step 2: Since the reminder 544 ≠ 0, we apply division lemma to 203 and 544, to get
544 = 203 x 2 + 138
Step 3: We consider the new divisor 203 and the new remainder 138, and apply the division lemma to get
203 = 138 x 1 + 65
We consider the new divisor 138 and the new remainder 65,and apply the division lemma to get
138 = 65 x 2 + 8
We consider the new divisor 65 and the new remainder 8,and apply the division lemma to get
65 = 8 x 8 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 747 and 544 is 1
Notice that 1 = HCF(8,1) = HCF(65,8) = HCF(138,65) = HCF(203,138) = HCF(544,203) = HCF(747,544) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 74 > 1, we apply the division lemma to 74 and 1, to get
74 = 1 x 74 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 74 is 1
Notice that 1 = HCF(74,1) .
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Frequently Asked Questions on HCF of 747, 544, 74 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 747, 544, 74?
Answer: HCF of 747, 544, 74 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 747, 544, 74 using Euclid's Algorithm?
Answer: For arbitrary numbers 747, 544, 74 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.