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 802, 6713 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 802, 6713 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 802, 6713 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 802, 6713 is 1.
HCF(802, 6713) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 802, 6713 is 1.
Step 1: Since 6713 > 802, we apply the division lemma to 6713 and 802, to get
6713 = 802 x 8 + 297
Step 2: Since the reminder 802 ≠ 0, we apply division lemma to 297 and 802, to get
802 = 297 x 2 + 208
Step 3: We consider the new divisor 297 and the new remainder 208, and apply the division lemma to get
297 = 208 x 1 + 89
We consider the new divisor 208 and the new remainder 89,and apply the division lemma to get
208 = 89 x 2 + 30
We consider the new divisor 89 and the new remainder 30,and apply the division lemma to get
89 = 30 x 2 + 29
We consider the new divisor 30 and the new remainder 29,and apply the division lemma to get
30 = 29 x 1 + 1
We consider the new divisor 29 and the new remainder 1,and apply the division lemma to get
29 = 1 x 29 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 802 and 6713 is 1
Notice that 1 = HCF(29,1) = HCF(30,29) = HCF(89,30) = HCF(208,89) = HCF(297,208) = HCF(802,297) = HCF(6713,802) .
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 802, 6713?
Answer: HCF of 802, 6713 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 802, 6713 using Euclid's Algorithm?
Answer: For arbitrary numbers 802, 6713 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.