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 7479, 3107 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7479, 3107 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 7479, 3107 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 7479, 3107 is 1.
HCF(7479, 3107) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7479, 3107 is 1.
Step 1: Since 7479 > 3107, we apply the division lemma to 7479 and 3107, to get
7479 = 3107 x 2 + 1265
Step 2: Since the reminder 3107 ≠ 0, we apply division lemma to 1265 and 3107, to get
3107 = 1265 x 2 + 577
Step 3: We consider the new divisor 1265 and the new remainder 577, and apply the division lemma to get
1265 = 577 x 2 + 111
We consider the new divisor 577 and the new remainder 111,and apply the division lemma to get
577 = 111 x 5 + 22
We consider the new divisor 111 and the new remainder 22,and apply the division lemma to get
111 = 22 x 5 + 1
We consider the new divisor 22 and the new remainder 1,and apply the division lemma to get
22 = 1 x 22 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7479 and 3107 is 1
Notice that 1 = HCF(22,1) = HCF(111,22) = HCF(577,111) = HCF(1265,577) = HCF(3107,1265) = HCF(7479,3107) .
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 7479, 3107?
Answer: HCF of 7479, 3107 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7479, 3107 using Euclid's Algorithm?
Answer: For arbitrary numbers 7479, 3107 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.