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 938, 525, 494 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 938, 525, 494 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 938, 525, 494 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 938, 525, 494 is 1.
HCF(938, 525, 494) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 938, 525, 494 is 1.
Step 1: Since 938 > 525, we apply the division lemma to 938 and 525, to get
938 = 525 x 1 + 413
Step 2: Since the reminder 525 ≠ 0, we apply division lemma to 413 and 525, to get
525 = 413 x 1 + 112
Step 3: We consider the new divisor 413 and the new remainder 112, and apply the division lemma to get
413 = 112 x 3 + 77
We consider the new divisor 112 and the new remainder 77,and apply the division lemma to get
112 = 77 x 1 + 35
We consider the new divisor 77 and the new remainder 35,and apply the division lemma to get
77 = 35 x 2 + 7
We consider the new divisor 35 and the new remainder 7,and apply the division lemma to get
35 = 7 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 938 and 525 is 7
Notice that 7 = HCF(35,7) = HCF(77,35) = HCF(112,77) = HCF(413,112) = HCF(525,413) = HCF(938,525) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 494 > 7, we apply the division lemma to 494 and 7, to get
494 = 7 x 70 + 4
Step 2: Since the reminder 7 ≠ 0, we apply division lemma to 4 and 7, to get
7 = 4 x 1 + 3
Step 3: We consider the new divisor 4 and the new remainder 3, and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1, and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7 and 494 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(494,7) .
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 938, 525, 494?
Answer: HCF of 938, 525, 494 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 938, 525, 494 using Euclid's Algorithm?
Answer: For arbitrary numbers 938, 525, 494 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.