Highest Common Factor of 938, 49013 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 938, 49013 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 938, 49013 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, 49013 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, 49013 is 1.
HCF(938, 49013) = 1
HCF of 938, 49013 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 938, 49013 is 1.
Highest Common Factor of 938,49013 is 1
Step 1: Since 49013 > 938, we apply the division lemma to 49013 and 938, to get
49013 = 938 x 52 + 237
Step 2: Since the reminder 938 ≠ 0, we apply division lemma to 237 and 938, to get
938 = 237 x 3 + 227
Step 3: We consider the new divisor 237 and the new remainder 227, and apply the division lemma to get
237 = 227 x 1 + 10
We consider the new divisor 227 and the new remainder 10,and apply the division lemma to get
227 = 10 x 22 + 7
We consider the new divisor 10 and the new remainder 7,and apply the division lemma to get
10 = 7 x 1 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 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 938 and 49013 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(10,7) = HCF(227,10) = HCF(237,227) = HCF(938,237) = HCF(49013,938) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 938, 49013 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 938, 49013?
Answer: HCF of 938, 49013 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 938, 49013 using Euclid's Algorithm?
Answer: For arbitrary numbers 938, 49013 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.