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, 2420 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 874, 2420 is 2 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, 2420 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, 2420 is 2.
HCF(874, 2420) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 874, 2420 is 2.
Step 1: Since 2420 > 874, we apply the division lemma to 2420 and 874, to get
2420 = 874 x 2 + 672
Step 2: Since the reminder 874 ≠ 0, we apply division lemma to 672 and 874, to get
874 = 672 x 1 + 202
Step 3: We consider the new divisor 672 and the new remainder 202, and apply the division lemma to get
672 = 202 x 3 + 66
We consider the new divisor 202 and the new remainder 66,and apply the division lemma to get
202 = 66 x 3 + 4
We consider the new divisor 66 and the new remainder 4,and apply the division lemma to get
66 = 4 x 16 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 874 and 2420 is 2
Notice that 2 = HCF(4,2) = HCF(66,4) = HCF(202,66) = HCF(672,202) = HCF(874,672) = HCF(2420,874) .
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 874, 2420?
Answer: HCF of 874, 2420 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 874, 2420 using Euclid's Algorithm?
Answer: For arbitrary numbers 874, 2420 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.