Highest Common Factor of 7048, 4648 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 7048, 4648 i.e. 8 the largest integer that leaves a remainder zero for all numbers.
HCF of 7048, 4648 is 8 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 7048, 4648 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 7048, 4648 is 8.
HCF(7048, 4648) = 8
HCF of 7048, 4648 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7048, 4648 is 8.
Highest Common Factor of 7048,4648 is 8
Step 1: Since 7048 > 4648, we apply the division lemma to 7048 and 4648, to get
7048 = 4648 x 1 + 2400
Step 2: Since the reminder 4648 ≠ 0, we apply division lemma to 2400 and 4648, to get
4648 = 2400 x 1 + 2248
Step 3: We consider the new divisor 2400 and the new remainder 2248, and apply the division lemma to get
2400 = 2248 x 1 + 152
We consider the new divisor 2248 and the new remainder 152,and apply the division lemma to get
2248 = 152 x 14 + 120
We consider the new divisor 152 and the new remainder 120,and apply the division lemma to get
152 = 120 x 1 + 32
We consider the new divisor 120 and the new remainder 32,and apply the division lemma to get
120 = 32 x 3 + 24
We consider the new divisor 32 and the new remainder 24,and apply the division lemma to get
32 = 24 x 1 + 8
We consider the new divisor 24 and the new remainder 8,and apply the division lemma to get
24 = 8 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 8, the HCF of 7048 and 4648 is 8
Notice that 8 = HCF(24,8) = HCF(32,24) = HCF(120,32) = HCF(152,120) = HCF(2248,152) = HCF(2400,2248) = HCF(4648,2400) = HCF(7048,4648) .
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Frequently Asked Questions on HCF of 7048, 4648 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 7048, 4648?
Answer: HCF of 7048, 4648 is 8 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7048, 4648 using Euclid's Algorithm?
Answer: For arbitrary numbers 7048, 4648 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.