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 9250, 4073, 77236 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9250, 4073, 77236 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 9250, 4073, 77236 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 9250, 4073, 77236 is 1.
HCF(9250, 4073, 77236) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9250, 4073, 77236 is 1.
Step 1: Since 9250 > 4073, we apply the division lemma to 9250 and 4073, to get
9250 = 4073 x 2 + 1104
Step 2: Since the reminder 4073 ≠ 0, we apply division lemma to 1104 and 4073, to get
4073 = 1104 x 3 + 761
Step 3: We consider the new divisor 1104 and the new remainder 761, and apply the division lemma to get
1104 = 761 x 1 + 343
We consider the new divisor 761 and the new remainder 343,and apply the division lemma to get
761 = 343 x 2 + 75
We consider the new divisor 343 and the new remainder 75,and apply the division lemma to get
343 = 75 x 4 + 43
We consider the new divisor 75 and the new remainder 43,and apply the division lemma to get
75 = 43 x 1 + 32
We consider the new divisor 43 and the new remainder 32,and apply the division lemma to get
43 = 32 x 1 + 11
We consider the new divisor 32 and the new remainder 11,and apply the division lemma to get
32 = 11 x 2 + 10
We consider the new divisor 11 and the new remainder 10,and apply the division lemma to get
11 = 10 x 1 + 1
We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9250 and 4073 is 1
Notice that 1 = HCF(10,1) = HCF(11,10) = HCF(32,11) = HCF(43,32) = HCF(75,43) = HCF(343,75) = HCF(761,343) = HCF(1104,761) = HCF(4073,1104) = HCF(9250,4073) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 77236 > 1, we apply the division lemma to 77236 and 1, to get
77236 = 1 x 77236 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 77236 is 1
Notice that 1 = HCF(77236,1) .
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 9250, 4073, 77236?
Answer: HCF of 9250, 4073, 77236 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9250, 4073, 77236 using Euclid's Algorithm?
Answer: For arbitrary numbers 9250, 4073, 77236 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.