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 792, 673, 299 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 792, 673, 299 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 792, 673, 299 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 792, 673, 299 is 1.
HCF(792, 673, 299) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 792, 673, 299 is 1.
Step 1: Since 792 > 673, we apply the division lemma to 792 and 673, to get
792 = 673 x 1 + 119
Step 2: Since the reminder 673 ≠ 0, we apply division lemma to 119 and 673, to get
673 = 119 x 5 + 78
Step 3: We consider the new divisor 119 and the new remainder 78, and apply the division lemma to get
119 = 78 x 1 + 41
We consider the new divisor 78 and the new remainder 41,and apply the division lemma to get
78 = 41 x 1 + 37
We consider the new divisor 41 and the new remainder 37,and apply the division lemma to get
41 = 37 x 1 + 4
We consider the new divisor 37 and the new remainder 4,and apply the division lemma to get
37 = 4 x 9 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 792 and 673 is 1
Notice that 1 = HCF(4,1) = HCF(37,4) = HCF(41,37) = HCF(78,41) = HCF(119,78) = HCF(673,119) = HCF(792,673) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 299 > 1, we apply the division lemma to 299 and 1, to get
299 = 1 x 299 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 299 is 1
Notice that 1 = HCF(299,1) .
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 792, 673, 299?
Answer: HCF of 792, 673, 299 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 792, 673, 299 using Euclid's Algorithm?
Answer: For arbitrary numbers 792, 673, 299 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.