Highest Common Factor of 851, 1938 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 851, 1938 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 851, 1938 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 851, 1938 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 851, 1938 is 1.
HCF(851, 1938) = 1
HCF of 851, 1938 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 851, 1938 is 1.
Highest Common Factor of 851,1938 is 1
Step 1: Since 1938 > 851, we apply the division lemma to 1938 and 851, to get
1938 = 851 x 2 + 236
Step 2: Since the reminder 851 ≠ 0, we apply division lemma to 236 and 851, to get
851 = 236 x 3 + 143
Step 3: We consider the new divisor 236 and the new remainder 143, and apply the division lemma to get
236 = 143 x 1 + 93
We consider the new divisor 143 and the new remainder 93,and apply the division lemma to get
143 = 93 x 1 + 50
We consider the new divisor 93 and the new remainder 50,and apply the division lemma to get
93 = 50 x 1 + 43
We consider the new divisor 50 and the new remainder 43,and apply the division lemma to get
50 = 43 x 1 + 7
We consider the new divisor 43 and the new remainder 7,and apply the division lemma to get
43 = 7 x 6 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 851 and 1938 is 1
Notice that 1 = HCF(7,1) = HCF(43,7) = HCF(50,43) = HCF(93,50) = HCF(143,93) = HCF(236,143) = HCF(851,236) = HCF(1938,851) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 851, 1938 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 851, 1938?
Answer: HCF of 851, 1938 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 851, 1938 using Euclid's Algorithm?
Answer: For arbitrary numbers 851, 1938 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.