Highest Common Factor of 981, 1919 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 981, 1919 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 981, 1919 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 981, 1919 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 981, 1919 is 1.
HCF(981, 1919) = 1
HCF of 981, 1919 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 981, 1919 is 1.
Highest Common Factor of 981,1919 is 1
Step 1: Since 1919 > 981, we apply the division lemma to 1919 and 981, to get
1919 = 981 x 1 + 938
Step 2: Since the reminder 981 ≠ 0, we apply division lemma to 938 and 981, to get
981 = 938 x 1 + 43
Step 3: We consider the new divisor 938 and the new remainder 43, and apply the division lemma to get
938 = 43 x 21 + 35
We consider the new divisor 43 and the new remainder 35,and apply the division lemma to get
43 = 35 x 1 + 8
We consider the new divisor 35 and the new remainder 8,and apply the division lemma to get
35 = 8 x 4 + 3
We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get
8 = 3 x 2 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 981 and 1919 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(35,8) = HCF(43,35) = HCF(938,43) = HCF(981,938) = HCF(1919,981) .
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Frequently Asked Questions on HCF of 981, 1919 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 981, 1919?
Answer: HCF of 981, 1919 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 981, 1919 using Euclid's Algorithm?
Answer: For arbitrary numbers 981, 1919 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.