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 9978, 4367, 93680 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9978, 4367, 93680 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 9978, 4367, 93680 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 9978, 4367, 93680 is 1.
HCF(9978, 4367, 93680) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9978, 4367, 93680 is 1.
Step 1: Since 9978 > 4367, we apply the division lemma to 9978 and 4367, to get
9978 = 4367 x 2 + 1244
Step 2: Since the reminder 4367 ≠ 0, we apply division lemma to 1244 and 4367, to get
4367 = 1244 x 3 + 635
Step 3: We consider the new divisor 1244 and the new remainder 635, and apply the division lemma to get
1244 = 635 x 1 + 609
We consider the new divisor 635 and the new remainder 609,and apply the division lemma to get
635 = 609 x 1 + 26
We consider the new divisor 609 and the new remainder 26,and apply the division lemma to get
609 = 26 x 23 + 11
We consider the new divisor 26 and the new remainder 11,and apply the division lemma to get
26 = 11 x 2 + 4
We consider the new divisor 11 and the new remainder 4,and apply the division lemma to get
11 = 4 x 2 + 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 9978 and 4367 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(11,4) = HCF(26,11) = HCF(609,26) = HCF(635,609) = HCF(1244,635) = HCF(4367,1244) = HCF(9978,4367) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 93680 > 1, we apply the division lemma to 93680 and 1, to get
93680 = 1 x 93680 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 93680 is 1
Notice that 1 = HCF(93680,1) .
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 9978, 4367, 93680?
Answer: HCF of 9978, 4367, 93680 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9978, 4367, 93680 using Euclid's Algorithm?
Answer: For arbitrary numbers 9978, 4367, 93680 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.