Highest Common Factor of 7049, 3948 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 7049, 3948 i.e. 7 the largest integer that leaves a remainder zero for all numbers.
HCF of 7049, 3948 is 7 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 7049, 3948 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 7049, 3948 is 7.
HCF(7049, 3948) = 7
HCF of 7049, 3948 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7049, 3948 is 7.
Highest Common Factor of 7049,3948 is 7
Step 1: Since 7049 > 3948, we apply the division lemma to 7049 and 3948, to get
7049 = 3948 x 1 + 3101
Step 2: Since the reminder 3948 ≠ 0, we apply division lemma to 3101 and 3948, to get
3948 = 3101 x 1 + 847
Step 3: We consider the new divisor 3101 and the new remainder 847, and apply the division lemma to get
3101 = 847 x 3 + 560
We consider the new divisor 847 and the new remainder 560,and apply the division lemma to get
847 = 560 x 1 + 287
We consider the new divisor 560 and the new remainder 287,and apply the division lemma to get
560 = 287 x 1 + 273
We consider the new divisor 287 and the new remainder 273,and apply the division lemma to get
287 = 273 x 1 + 14
We consider the new divisor 273 and the new remainder 14,and apply the division lemma to get
273 = 14 x 19 + 7
We consider the new divisor 14 and the new remainder 7,and apply the division lemma to get
14 = 7 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 7049 and 3948 is 7
Notice that 7 = HCF(14,7) = HCF(273,14) = HCF(287,273) = HCF(560,287) = HCF(847,560) = HCF(3101,847) = HCF(3948,3101) = HCF(7049,3948) .
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Frequently Asked Questions on HCF of 7049, 3948 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 7049, 3948?
Answer: HCF of 7049, 3948 is 7 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7049, 3948 using Euclid's Algorithm?
Answer: For arbitrary numbers 7049, 3948 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.