Highest Common Factor of 1335, 752 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 1335, 752 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1335, 752 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 1335, 752 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 1335, 752 is 1.
HCF(1335, 752) = 1
HCF of 1335, 752 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1335, 752 is 1.
Highest Common Factor of 1335,752 is 1
Step 1: Since 1335 > 752, we apply the division lemma to 1335 and 752, to get
1335 = 752 x 1 + 583
Step 2: Since the reminder 752 ≠ 0, we apply division lemma to 583 and 752, to get
752 = 583 x 1 + 169
Step 3: We consider the new divisor 583 and the new remainder 169, and apply the division lemma to get
583 = 169 x 3 + 76
We consider the new divisor 169 and the new remainder 76,and apply the division lemma to get
169 = 76 x 2 + 17
We consider the new divisor 76 and the new remainder 17,and apply the division lemma to get
76 = 17 x 4 + 8
We consider the new divisor 17 and the new remainder 8,and apply the division lemma to get
17 = 8 x 2 + 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 1335 and 752 is 1
Notice that 1 = HCF(8,1) = HCF(17,8) = HCF(76,17) = HCF(169,76) = HCF(583,169) = HCF(752,583) = HCF(1335,752) .
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Frequently Asked Questions on HCF of 1335, 752 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 1335, 752?
Answer: HCF of 1335, 752 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1335, 752 using Euclid's Algorithm?
Answer: For arbitrary numbers 1335, 752 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.