Highest Common Factor of 4948, 1895 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 4948, 1895 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4948, 1895 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 4948, 1895 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 4948, 1895 is 1.
HCF(4948, 1895) = 1
HCF of 4948, 1895 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4948, 1895 is 1.
Highest Common Factor of 4948,1895 is 1
Step 1: Since 4948 > 1895, we apply the division lemma to 4948 and 1895, to get
4948 = 1895 x 2 + 1158
Step 2: Since the reminder 1895 ≠ 0, we apply division lemma to 1158 and 1895, to get
1895 = 1158 x 1 + 737
Step 3: We consider the new divisor 1158 and the new remainder 737, and apply the division lemma to get
1158 = 737 x 1 + 421
We consider the new divisor 737 and the new remainder 421,and apply the division lemma to get
737 = 421 x 1 + 316
We consider the new divisor 421 and the new remainder 316,and apply the division lemma to get
421 = 316 x 1 + 105
We consider the new divisor 316 and the new remainder 105,and apply the division lemma to get
316 = 105 x 3 + 1
We consider the new divisor 105 and the new remainder 1,and apply the division lemma to get
105 = 1 x 105 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4948 and 1895 is 1
Notice that 1 = HCF(105,1) = HCF(316,105) = HCF(421,316) = HCF(737,421) = HCF(1158,737) = HCF(1895,1158) = HCF(4948,1895) .
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Frequently Asked Questions on HCF of 4948, 1895 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 4948, 1895?
Answer: HCF of 4948, 1895 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4948, 1895 using Euclid's Algorithm?
Answer: For arbitrary numbers 4948, 1895 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.