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 907, 7442, 4303 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 907, 7442, 4303 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 907, 7442, 4303 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 907, 7442, 4303 is 1.
HCF(907, 7442, 4303) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 907, 7442, 4303 is 1.
Step 1: Since 7442 > 907, we apply the division lemma to 7442 and 907, to get
7442 = 907 x 8 + 186
Step 2: Since the reminder 907 ≠ 0, we apply division lemma to 186 and 907, to get
907 = 186 x 4 + 163
Step 3: We consider the new divisor 186 and the new remainder 163, and apply the division lemma to get
186 = 163 x 1 + 23
We consider the new divisor 163 and the new remainder 23,and apply the division lemma to get
163 = 23 x 7 + 2
We consider the new divisor 23 and the new remainder 2,and apply the division lemma to get
23 = 2 x 11 + 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 907 and 7442 is 1
Notice that 1 = HCF(2,1) = HCF(23,2) = HCF(163,23) = HCF(186,163) = HCF(907,186) = HCF(7442,907) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 4303 > 1, we apply the division lemma to 4303 and 1, to get
4303 = 1 x 4303 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 4303 is 1
Notice that 1 = HCF(4303,1) .
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 907, 7442, 4303?
Answer: HCF of 907, 7442, 4303 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 907, 7442, 4303 using Euclid's Algorithm?
Answer: For arbitrary numbers 907, 7442, 4303 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.