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 919, 663, 939 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 919, 663, 939 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 919, 663, 939 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 919, 663, 939 is 1.
HCF(919, 663, 939) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 919, 663, 939 is 1.
Step 1: Since 919 > 663, we apply the division lemma to 919 and 663, to get
919 = 663 x 1 + 256
Step 2: Since the reminder 663 ≠ 0, we apply division lemma to 256 and 663, to get
663 = 256 x 2 + 151
Step 3: We consider the new divisor 256 and the new remainder 151, and apply the division lemma to get
256 = 151 x 1 + 105
We consider the new divisor 151 and the new remainder 105,and apply the division lemma to get
151 = 105 x 1 + 46
We consider the new divisor 105 and the new remainder 46,and apply the division lemma to get
105 = 46 x 2 + 13
We consider the new divisor 46 and the new remainder 13,and apply the division lemma to get
46 = 13 x 3 + 7
We consider the new divisor 13 and the new remainder 7,and apply the division lemma to get
13 = 7 x 1 + 6
We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get
7 = 6 x 1 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 919 and 663 is 1
Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(13,7) = HCF(46,13) = HCF(105,46) = HCF(151,105) = HCF(256,151) = HCF(663,256) = HCF(919,663) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 939 > 1, we apply the division lemma to 939 and 1, to get
939 = 1 x 939 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 939 is 1
Notice that 1 = HCF(939,1) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 919, 663, 939?
Answer: HCF of 919, 663, 939 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 919, 663, 939 using Euclid's Algorithm?
Answer: For arbitrary numbers 919, 663, 939 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.