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 714, 833, 759 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 714, 833, 759 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 714, 833, 759 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 714, 833, 759 is 1.
HCF(714, 833, 759) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 714, 833, 759 is 1.
Step 1: Since 833 > 714, we apply the division lemma to 833 and 714, to get
833 = 714 x 1 + 119
Step 2: Since the reminder 714 ≠ 0, we apply division lemma to 119 and 714, to get
714 = 119 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 119, the HCF of 714 and 833 is 119
Notice that 119 = HCF(714,119) = HCF(833,714) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 759 > 119, we apply the division lemma to 759 and 119, to get
759 = 119 x 6 + 45
Step 2: Since the reminder 119 ≠ 0, we apply division lemma to 45 and 119, to get
119 = 45 x 2 + 29
Step 3: We consider the new divisor 45 and the new remainder 29, and apply the division lemma to get
45 = 29 x 1 + 16
We consider the new divisor 29 and the new remainder 16,and apply the division lemma to get
29 = 16 x 1 + 13
We consider the new divisor 16 and the new remainder 13,and apply the division lemma to get
16 = 13 x 1 + 3
We consider the new divisor 13 and the new remainder 3,and apply the division lemma to get
13 = 3 x 4 + 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 119 and 759 is 1
Notice that 1 = HCF(3,1) = HCF(13,3) = HCF(16,13) = HCF(29,16) = HCF(45,29) = HCF(119,45) = HCF(759,119) .
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 714, 833, 759?
Answer: HCF of 714, 833, 759 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 714, 833, 759 using Euclid's Algorithm?
Answer: For arbitrary numbers 714, 833, 759 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.