Highest Common Factor of 139, 509, 946 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 139, 509, 946 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 139, 509, 946 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 139, 509, 946 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 139, 509, 946 is 1.
HCF(139, 509, 946) = 1
HCF of 139, 509, 946 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 139, 509, 946 is 1.
Highest Common Factor of 139,509,946 is 1
Step 1: Since 509 > 139, we apply the division lemma to 509 and 139, to get
509 = 139 x 3 + 92
Step 2: Since the reminder 139 ≠ 0, we apply division lemma to 92 and 139, to get
139 = 92 x 1 + 47
Step 3: We consider the new divisor 92 and the new remainder 47, and apply the division lemma to get
92 = 47 x 1 + 45
We consider the new divisor 47 and the new remainder 45,and apply the division lemma to get
47 = 45 x 1 + 2
We consider the new divisor 45 and the new remainder 2,and apply the division lemma to get
45 = 2 x 22 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 139 and 509 is 1
Notice that 1 = HCF(2,1) = HCF(45,2) = HCF(47,45) = HCF(92,47) = HCF(139,92) = HCF(509,139) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 946 > 1, we apply the division lemma to 946 and 1, to get
946 = 1 x 946 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 946 is 1
Notice that 1 = HCF(946,1) .
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Frequently Asked Questions on HCF of 139, 509, 946 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 139, 509, 946?
Answer: HCF of 139, 509, 946 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 139, 509, 946 using Euclid's Algorithm?
Answer: For arbitrary numbers 139, 509, 946 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.