Highest Common Factor of 939, 55119 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, 55119 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 939, 55119 is 3 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, 55119 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, 55119 is 3.
HCF(939, 55119) = 3
HCF of 939, 55119 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, 55119 is 3.
Highest Common Factor of 939,55119 is 3
Step 1: Since 55119 > 939, we apply the division lemma to 55119 and 939, to get
55119 = 939 x 58 + 657
Step 2: Since the reminder 939 ≠ 0, we apply division lemma to 657 and 939, to get
939 = 657 x 1 + 282
Step 3: We consider the new divisor 657 and the new remainder 282, and apply the division lemma to get
657 = 282 x 2 + 93
We consider the new divisor 282 and the new remainder 93,and apply the division lemma to get
282 = 93 x 3 + 3
We consider the new divisor 93 and the new remainder 3,and apply the division lemma to get
93 = 3 x 31 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 939 and 55119 is 3
Notice that 3 = HCF(93,3) = HCF(282,93) = HCF(657,282) = HCF(939,657) = HCF(55119,939) .
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Frequently Asked Questions on HCF of 939, 55119 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, 55119?
Answer: HCF of 939, 55119 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 939, 55119 using Euclid's Algorithm?
Answer: For arbitrary numbers 939, 55119 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.