Highest Common Factor of 3767, 1496, 77339 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 3767, 1496, 77339 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3767, 1496, 77339 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 3767, 1496, 77339 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 3767, 1496, 77339 is 1.
HCF(3767, 1496, 77339) = 1
HCF of 3767, 1496, 77339 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3767, 1496, 77339 is 1.
Highest Common Factor of 3767,1496,77339 is 1
Step 1: Since 3767 > 1496, we apply the division lemma to 3767 and 1496, to get
3767 = 1496 x 2 + 775
Step 2: Since the reminder 1496 ≠ 0, we apply division lemma to 775 and 1496, to get
1496 = 775 x 1 + 721
Step 3: We consider the new divisor 775 and the new remainder 721, and apply the division lemma to get
775 = 721 x 1 + 54
We consider the new divisor 721 and the new remainder 54,and apply the division lemma to get
721 = 54 x 13 + 19
We consider the new divisor 54 and the new remainder 19,and apply the division lemma to get
54 = 19 x 2 + 16
We consider the new divisor 19 and the new remainder 16,and apply the division lemma to get
19 = 16 x 1 + 3
We consider the new divisor 16 and the new remainder 3,and apply the division lemma to get
16 = 3 x 5 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3767 and 1496 is 1
Notice that 1 = HCF(3,1) = HCF(16,3) = HCF(19,16) = HCF(54,19) = HCF(721,54) = HCF(775,721) = HCF(1496,775) = HCF(3767,1496) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 77339 > 1, we apply the division lemma to 77339 and 1, to get
77339 = 1 x 77339 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 77339 is 1
Notice that 1 = HCF(77339,1) .
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Frequently Asked Questions on HCF of 3767, 1496, 77339 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 3767, 1496, 77339?
Answer: HCF of 3767, 1496, 77339 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3767, 1496, 77339 using Euclid's Algorithm?
Answer: For arbitrary numbers 3767, 1496, 77339 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
