Highest Common Factor of 752, 967, 281, 13 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 752, 967, 281, 13 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 752, 967, 281, 13 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 752, 967, 281, 13 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 752, 967, 281, 13 is 1.
HCF(752, 967, 281, 13) = 1
HCF of 752, 967, 281, 13 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 752, 967, 281, 13 is 1.
Highest Common Factor of 752,967,281,13 is 1
Step 1: Since 967 > 752, we apply the division lemma to 967 and 752, to get
967 = 752 x 1 + 215
Step 2: Since the reminder 752 ≠ 0, we apply division lemma to 215 and 752, to get
752 = 215 x 3 + 107
Step 3: We consider the new divisor 215 and the new remainder 107, and apply the division lemma to get
215 = 107 x 2 + 1
We consider the new divisor 107 and the new remainder 1, and apply the division lemma to get
107 = 1 x 107 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 752 and 967 is 1
Notice that 1 = HCF(107,1) = HCF(215,107) = HCF(752,215) = HCF(967,752) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 281 > 1, we apply the division lemma to 281 and 1, to get
281 = 1 x 281 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 281 is 1
Notice that 1 = HCF(281,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 13 > 1, we apply the division lemma to 13 and 1, to get
13 = 1 x 13 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 13 is 1
Notice that 1 = HCF(13,1) .
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Frequently Asked Questions on HCF of 752, 967, 281, 13 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 752, 967, 281, 13?
Answer: HCF of 752, 967, 281, 13 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 752, 967, 281, 13 using Euclid's Algorithm?
Answer: For arbitrary numbers 752, 967, 281, 13 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.