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 851, 76835 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 851, 76835 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 851, 76835 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 851, 76835 is 1.
HCF(851, 76835) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 851, 76835 is 1.
Step 1: Since 76835 > 851, we apply the division lemma to 76835 and 851, to get
76835 = 851 x 90 + 245
Step 2: Since the reminder 851 ≠ 0, we apply division lemma to 245 and 851, to get
851 = 245 x 3 + 116
Step 3: We consider the new divisor 245 and the new remainder 116, and apply the division lemma to get
245 = 116 x 2 + 13
We consider the new divisor 116 and the new remainder 13,and apply the division lemma to get
116 = 13 x 8 + 12
We consider the new divisor 13 and the new remainder 12,and apply the division lemma to get
13 = 12 x 1 + 1
We consider the new divisor 12 and the new remainder 1,and apply the division lemma to get
12 = 1 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 851 and 76835 is 1
Notice that 1 = HCF(12,1) = HCF(13,12) = HCF(116,13) = HCF(245,116) = HCF(851,245) = HCF(76835,851) .
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 851, 76835?
Answer: HCF of 851, 76835 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 851, 76835 using Euclid's Algorithm?
Answer: For arbitrary numbers 851, 76835 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.