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 3101, 861 i.e. 7 the largest integer that leaves a remainder zero for all numbers.
HCF of 3101, 861 is 7 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 3101, 861 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 3101, 861 is 7.
HCF(3101, 861) = 7
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3101, 861 is 7.
Step 1: Since 3101 > 861, we apply the division lemma to 3101 and 861, to get
3101 = 861 x 3 + 518
Step 2: Since the reminder 861 ≠ 0, we apply division lemma to 518 and 861, to get
861 = 518 x 1 + 343
Step 3: We consider the new divisor 518 and the new remainder 343, and apply the division lemma to get
518 = 343 x 1 + 175
We consider the new divisor 343 and the new remainder 175,and apply the division lemma to get
343 = 175 x 1 + 168
We consider the new divisor 175 and the new remainder 168,and apply the division lemma to get
175 = 168 x 1 + 7
We consider the new divisor 168 and the new remainder 7,and apply the division lemma to get
168 = 7 x 24 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 3101 and 861 is 7
Notice that 7 = HCF(168,7) = HCF(175,168) = HCF(343,175) = HCF(518,343) = HCF(861,518) = HCF(3101,861) .
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 3101, 861?
Answer: HCF of 3101, 861 is 7 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3101, 861 using Euclid's Algorithm?
Answer: For arbitrary numbers 3101, 861 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.