Highest Common Factor of 874, 919 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 874, 919 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 874, 919 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 874, 919 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 874, 919 is 1.
HCF(874, 919) = 1
HCF of 874, 919 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 874, 919 is 1.
Highest Common Factor of 874,919 is 1
Step 1: Since 919 > 874, we apply the division lemma to 919 and 874, to get
919 = 874 x 1 + 45
Step 2: Since the reminder 874 ≠ 0, we apply division lemma to 45 and 874, to get
874 = 45 x 19 + 19
Step 3: We consider the new divisor 45 and the new remainder 19, and apply the division lemma to get
45 = 19 x 2 + 7
We consider the new divisor 19 and the new remainder 7,and apply the division lemma to get
19 = 7 x 2 + 5
We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get
7 = 5 x 1 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 874 and 919 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(19,7) = HCF(45,19) = HCF(874,45) = HCF(919,874) .
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Frequently Asked Questions on HCF of 874, 919 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 874, 919?
Answer: HCF of 874, 919 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 874, 919 using Euclid's Algorithm?
Answer: For arbitrary numbers 874, 919 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.