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 7900, 4476 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 7900, 4476 is 4 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 7900, 4476 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 7900, 4476 is 4.
HCF(7900, 4476) = 4
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7900, 4476 is 4.
Step 1: Since 7900 > 4476, we apply the division lemma to 7900 and 4476, to get
7900 = 4476 x 1 + 3424
Step 2: Since the reminder 4476 ≠ 0, we apply division lemma to 3424 and 4476, to get
4476 = 3424 x 1 + 1052
Step 3: We consider the new divisor 3424 and the new remainder 1052, and apply the division lemma to get
3424 = 1052 x 3 + 268
We consider the new divisor 1052 and the new remainder 268,and apply the division lemma to get
1052 = 268 x 3 + 248
We consider the new divisor 268 and the new remainder 248,and apply the division lemma to get
268 = 248 x 1 + 20
We consider the new divisor 248 and the new remainder 20,and apply the division lemma to get
248 = 20 x 12 + 8
We consider the new divisor 20 and the new remainder 8,and apply the division lemma to get
20 = 8 x 2 + 4
We consider the new divisor 8 and the new remainder 4,and apply the division lemma to get
8 = 4 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 7900 and 4476 is 4
Notice that 4 = HCF(8,4) = HCF(20,8) = HCF(248,20) = HCF(268,248) = HCF(1052,268) = HCF(3424,1052) = HCF(4476,3424) = HCF(7900,4476) .
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 7900, 4476?
Answer: HCF of 7900, 4476 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7900, 4476 using Euclid's Algorithm?
Answer: For arbitrary numbers 7900, 4476 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.