Highest Common Factor of 939, 548, 131 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 939, 548, 131 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 939, 548, 131 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 939, 548, 131 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 939, 548, 131 is 1.
HCF(939, 548, 131) = 1
HCF of 939, 548, 131 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 939, 548, 131 is 1.
Highest Common Factor of 939,548,131 is 1
Step 1: Since 939 > 548, we apply the division lemma to 939 and 548, to get
939 = 548 x 1 + 391
Step 2: Since the reminder 548 ≠ 0, we apply division lemma to 391 and 548, to get
548 = 391 x 1 + 157
Step 3: We consider the new divisor 391 and the new remainder 157, and apply the division lemma to get
391 = 157 x 2 + 77
We consider the new divisor 157 and the new remainder 77,and apply the division lemma to get
157 = 77 x 2 + 3
We consider the new divisor 77 and the new remainder 3,and apply the division lemma to get
77 = 3 x 25 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 939 and 548 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(77,3) = HCF(157,77) = HCF(391,157) = HCF(548,391) = HCF(939,548) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 131 > 1, we apply the division lemma to 131 and 1, to get
131 = 1 x 131 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 131 is 1
Notice that 1 = HCF(131,1) .
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Frequently Asked Questions on HCF of 939, 548, 131 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 939, 548, 131?
Answer: HCF of 939, 548, 131 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 939, 548, 131 using Euclid's Algorithm?
Answer: For arbitrary numbers 939, 548, 131 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.