Highest Common Factor of 747, 652, 735 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, 652, 735 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 747, 652, 735 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, 652, 735 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, 652, 735 is 1.
HCF(747, 652, 735) = 1
HCF of 747, 652, 735 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, 652, 735 is 1.
Highest Common Factor of 747,652,735 is 1
Step 1: Since 747 > 652, we apply the division lemma to 747 and 652, to get
747 = 652 x 1 + 95
Step 2: Since the reminder 652 ≠ 0, we apply division lemma to 95 and 652, to get
652 = 95 x 6 + 82
Step 3: We consider the new divisor 95 and the new remainder 82, and apply the division lemma to get
95 = 82 x 1 + 13
We consider the new divisor 82 and the new remainder 13,and apply the division lemma to get
82 = 13 x 6 + 4
We consider the new divisor 13 and the new remainder 4,and apply the division lemma to get
13 = 4 x 3 + 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 747 and 652 is 1
Notice that 1 = HCF(4,1) = HCF(13,4) = HCF(82,13) = HCF(95,82) = HCF(652,95) = HCF(747,652) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 735 > 1, we apply the division lemma to 735 and 1, to get
735 = 1 x 735 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 735 is 1
Notice that 1 = HCF(735,1) .
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Frequently Asked Questions on HCF of 747, 652, 735 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, 652, 735?
Answer: HCF of 747, 652, 735 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 747, 652, 735 using Euclid's Algorithm?
Answer: For arbitrary numbers 747, 652, 735 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.