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 893, 9951, 1418 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 893, 9951, 1418 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 893, 9951, 1418 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 893, 9951, 1418 is 1.
HCF(893, 9951, 1418) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 893, 9951, 1418 is 1.
Step 1: Since 9951 > 893, we apply the division lemma to 9951 and 893, to get
9951 = 893 x 11 + 128
Step 2: Since the reminder 893 ≠ 0, we apply division lemma to 128 and 893, to get
893 = 128 x 6 + 125
Step 3: We consider the new divisor 128 and the new remainder 125, and apply the division lemma to get
128 = 125 x 1 + 3
We consider the new divisor 125 and the new remainder 3,and apply the division lemma to get
125 = 3 x 41 + 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 893 and 9951 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(125,3) = HCF(128,125) = HCF(893,128) = HCF(9951,893) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 1418 > 1, we apply the division lemma to 1418 and 1, to get
1418 = 1 x 1418 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 1418 is 1
Notice that 1 = HCF(1418,1) .
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 893, 9951, 1418?
Answer: HCF of 893, 9951, 1418 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 893, 9951, 1418 using Euclid's Algorithm?
Answer: For arbitrary numbers 893, 9951, 1418 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.