Highest Common Factor of 4961, 4007 using Euclid's algorithm
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 4961, 4007 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4961, 4007 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 4961, 4007 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 4961, 4007 is 1.
HCF(4961, 4007) = 1
HCF of 4961, 4007 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4961, 4007 is 1.
Highest Common Factor of 4961,4007 is 1
Step 1: Since 4961 > 4007, we apply the division lemma to 4961 and 4007, to get
4961 = 4007 x 1 + 954
Step 2: Since the reminder 4007 ≠ 0, we apply division lemma to 954 and 4007, to get
4007 = 954 x 4 + 191
Step 3: We consider the new divisor 954 and the new remainder 191, and apply the division lemma to get
954 = 191 x 4 + 190
We consider the new divisor 191 and the new remainder 190,and apply the division lemma to get
191 = 190 x 1 + 1
We consider the new divisor 190 and the new remainder 1,and apply the division lemma to get
190 = 1 x 190 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4961 and 4007 is 1
Notice that 1 = HCF(190,1) = HCF(191,190) = HCF(954,191) = HCF(4007,954) = HCF(4961,4007) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 4961, 4007 using Euclid's Algorithm
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 4961, 4007?
Answer: HCF of 4961, 4007 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4961, 4007 using Euclid's Algorithm?
Answer: For arbitrary numbers 4961, 4007 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.