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 4480, 9948 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 4480, 9948 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 4480, 9948 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 4480, 9948 is 4.
HCF(4480, 9948) = 4
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4480, 9948 is 4.
Step 1: Since 9948 > 4480, we apply the division lemma to 9948 and 4480, to get
9948 = 4480 x 2 + 988
Step 2: Since the reminder 4480 ≠ 0, we apply division lemma to 988 and 4480, to get
4480 = 988 x 4 + 528
Step 3: We consider the new divisor 988 and the new remainder 528, and apply the division lemma to get
988 = 528 x 1 + 460
We consider the new divisor 528 and the new remainder 460,and apply the division lemma to get
528 = 460 x 1 + 68
We consider the new divisor 460 and the new remainder 68,and apply the division lemma to get
460 = 68 x 6 + 52
We consider the new divisor 68 and the new remainder 52,and apply the division lemma to get
68 = 52 x 1 + 16
We consider the new divisor 52 and the new remainder 16,and apply the division lemma to get
52 = 16 x 3 + 4
We consider the new divisor 16 and the new remainder 4,and apply the division lemma to get
16 = 4 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 4480 and 9948 is 4
Notice that 4 = HCF(16,4) = HCF(52,16) = HCF(68,52) = HCF(460,68) = HCF(528,460) = HCF(988,528) = HCF(4480,988) = HCF(9948,4480) .
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 4480, 9948?
Answer: HCF of 4480, 9948 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4480, 9948 using Euclid's Algorithm?
Answer: For arbitrary numbers 4480, 9948 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.