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 8774, 2350 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 8774, 2350 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 8774, 2350 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 8774, 2350 is 2.
HCF(8774, 2350) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8774, 2350 is 2.
Step 1: Since 8774 > 2350, we apply the division lemma to 8774 and 2350, to get
8774 = 2350 x 3 + 1724
Step 2: Since the reminder 2350 ≠ 0, we apply division lemma to 1724 and 2350, to get
2350 = 1724 x 1 + 626
Step 3: We consider the new divisor 1724 and the new remainder 626, and apply the division lemma to get
1724 = 626 x 2 + 472
We consider the new divisor 626 and the new remainder 472,and apply the division lemma to get
626 = 472 x 1 + 154
We consider the new divisor 472 and the new remainder 154,and apply the division lemma to get
472 = 154 x 3 + 10
We consider the new divisor 154 and the new remainder 10,and apply the division lemma to get
154 = 10 x 15 + 4
We consider the new divisor 10 and the new remainder 4,and apply the division lemma to get
10 = 4 x 2 + 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 8774 and 2350 is 2
Notice that 2 = HCF(4,2) = HCF(10,4) = HCF(154,10) = HCF(472,154) = HCF(626,472) = HCF(1724,626) = HCF(2350,1724) = HCF(8774,2350) .
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 8774, 2350?
Answer: HCF of 8774, 2350 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8774, 2350 using Euclid's Algorithm?
Answer: For arbitrary numbers 8774, 2350 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.