Highest Common Factor of 782, 4049, 1160 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 782, 4049, 1160 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 782, 4049, 1160 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 782, 4049, 1160 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 782, 4049, 1160 is 1.
HCF(782, 4049, 1160) = 1
HCF of 782, 4049, 1160 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 782, 4049, 1160 is 1.
Highest Common Factor of 782,4049,1160 is 1
Step 1: Since 4049 > 782, we apply the division lemma to 4049 and 782, to get
4049 = 782 x 5 + 139
Step 2: Since the reminder 782 ≠ 0, we apply division lemma to 139 and 782, to get
782 = 139 x 5 + 87
Step 3: We consider the new divisor 139 and the new remainder 87, and apply the division lemma to get
139 = 87 x 1 + 52
We consider the new divisor 87 and the new remainder 52,and apply the division lemma to get
87 = 52 x 1 + 35
We consider the new divisor 52 and the new remainder 35,and apply the division lemma to get
52 = 35 x 1 + 17
We consider the new divisor 35 and the new remainder 17,and apply the division lemma to get
35 = 17 x 2 + 1
We consider the new divisor 17 and the new remainder 1,and apply the division lemma to get
17 = 1 x 17 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 782 and 4049 is 1
Notice that 1 = HCF(17,1) = HCF(35,17) = HCF(52,35) = HCF(87,52) = HCF(139,87) = HCF(782,139) = HCF(4049,782) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 1160 > 1, we apply the division lemma to 1160 and 1, to get
1160 = 1 x 1160 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 1160 is 1
Notice that 1 = HCF(1160,1) .
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Frequently Asked Questions on HCF of 782, 4049, 1160 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 782, 4049, 1160?
Answer: HCF of 782, 4049, 1160 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 782, 4049, 1160 using Euclid's Algorithm?
Answer: For arbitrary numbers 782, 4049, 1160 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.